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Finding the Fourth Proportional to 2,095.72, 3,143.02 and 997.90

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Solution

The fourth proportional to 2,095.72, 3,143.02 and 997.90 is: 1,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.72 : 3,143.02 = 997.90 : x
  2. Step 2: Convert to fraction form
    2,095.72/3,143.02 = 997.90/x
  3. Step 3: Cross multiply
    2,095.72x = 3,143.02 × 997.90
  4. Step 4: Simplify right side
    2,095.72x = 3,136,419.66
  5. Step 5: Solve for x
    x = 3,136,419.66/2,095.72
  6. Step 6: Final answer
    x = 1,496.58

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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.