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Finding the Fourth Proportional to 2,095.85, 3,143.78 and 996.89

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Solution

The fourth proportional to 2,095.85, 3,143.78 and 996.89 is: 1,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.85 : 3,143.78 = 996.89 : x
  2. Step 2: Convert to fraction form
    2,095.85/3,143.78 = 996.89/x
  3. Step 3: Cross multiply
    2,095.85x = 3,143.78 × 996.89
  4. Step 4: Simplify right side
    2,095.85x = 3,133,982.14
  5. Step 5: Solve for x
    x = 3,133,982.14/2,095.85
  6. Step 6: Final answer
    x = 1,495.33

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.