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Finding the Fourth Proportional to 1,737.50, 2,397.75 and 951.55

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Solution

The fourth proportional to 1,737.50, 2,397.75 and 951.55 is: 1,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.50 : 2,397.75 = 951.55 : x
  2. Step 2: Convert to fraction form
    1,737.50/2,397.75 = 951.55/x
  3. Step 3: Cross multiply
    1,737.50x = 2,397.75 × 951.55
  4. Step 4: Simplify right side
    1,737.50x = 2,281,574.80
  5. Step 5: Solve for x
    x = 2,281,574.80/1,737.50
  6. Step 6: Final answer
    x = 1,313.14

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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.