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Finding the Fourth Proportional to 1,737.09, 2,397.18 and 951.14

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Solution

The fourth proportional to 1,737.09, 2,397.18 and 951.14 is: 1,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.09 : 2,397.18 = 951.14 : x
  2. Step 2: Convert to fraction form
    1,737.09/2,397.18 = 951.14/x
  3. Step 3: Cross multiply
    1,737.09x = 2,397.18 × 951.14
  4. Step 4: Simplify right side
    1,737.09x = 2,280,041.80
  5. Step 5: Solve for x
    x = 2,280,041.80/1,737.09
  6. Step 6: Final answer
    x = 1,312.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.