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Finding the Fourth Proportional to 1,737.90, 2,617.31 and 1,640.70

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Solution

The fourth proportional to 1,737.90, 2,617.31 and 1,640.70 is: 2,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.90 : 2,617.31 = 1,640.70 : x
  2. Step 2: Convert to fraction form
    1,737.90/2,617.31 = 1,640.70/x
  3. Step 3: Cross multiply
    1,737.90x = 2,617.31 × 1,640.70
  4. Step 4: Simplify right side
    1,737.90x = 4,294,212.31
  5. Step 5: Solve for x
    x = 4,294,212.31/1,737.90
  6. Step 6: Final answer
    x = 2,470.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.