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Finding the Fourth Proportional to 1,747.41, 2,607.49 and 1,592.16

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Solution

The fourth proportional to 1,747.41, 2,607.49 and 1,592.16 is: 2,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.41 : 2,607.49 = 1,592.16 : x
  2. Step 2: Convert to fraction form
    1,747.41/2,607.49 = 1,592.16/x
  3. Step 3: Cross multiply
    1,747.41x = 2,607.49 × 1,592.16
  4. Step 4: Simplify right side
    1,747.41x = 4,151,541.28
  5. Step 5: Solve for x
    x = 4,151,541.28/1,747.41
  6. Step 6: Final answer
    x = 2,375.83

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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.