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Finding the Fourth Proportional to 1,737.57, 2,605.45 and 750.39

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Solution

The fourth proportional to 1,737.57, 2,605.45 and 750.39 is: 1,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.57 : 2,605.45 = 750.39 : x
  2. Step 2: Convert to fraction form
    1,737.57/2,605.45 = 750.39/x
  3. Step 3: Cross multiply
    1,737.57x = 2,605.45 × 750.39
  4. Step 4: Simplify right side
    1,737.57x = 1,955,103.63
  5. Step 5: Solve for x
    x = 1,955,103.63/1,737.57
  6. Step 6: Final answer
    x = 1,125.19

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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.