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Finding the Fourth Proportional to 4,902.82, 7,354.23 and 1,983.18

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Solution

The fourth proportional to 4,902.82, 7,354.23 and 1,983.18 is: 2,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.82 : 7,354.23 = 1,983.18 : x
  2. Step 2: Convert to fraction form
    4,902.82/7,354.23 = 1,983.18/x
  3. Step 3: Cross multiply
    4,902.82x = 7,354.23 × 1,983.18
  4. Step 4: Simplify right side
    4,902.82x = 14,584,751.78
  5. Step 5: Solve for x
    x = 14,584,751.78/4,902.82
  6. Step 6: Final answer
    x = 2,974.77

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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.