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Finding the Fourth Proportional to 1,737.54, 2,592.36 and 1,552.86

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Solution

The fourth proportional to 1,737.54, 2,592.36 and 1,552.86 is: 2,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.54 : 2,592.36 = 1,552.86 : x
  2. Step 2: Convert to fraction form
    1,737.54/2,592.36 = 1,552.86/x
  3. Step 3: Cross multiply
    1,737.54x = 2,592.36 × 1,552.86
  4. Step 4: Simplify right side
    1,737.54x = 4,025,572.15
  5. Step 5: Solve for x
    x = 4,025,572.15/1,737.54
  6. Step 6: Final answer
    x = 2,316.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.