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Finding the Fourth Proportional to 1,747.53, 2,617.92 and 1,658.97

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Solution

The fourth proportional to 1,747.53, 2,617.92 and 1,658.97 is: 2,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.53 : 2,617.92 = 1,658.97 : x
  2. Step 2: Convert to fraction form
    1,747.53/2,617.92 = 1,658.97/x
  3. Step 3: Cross multiply
    1,747.53x = 2,617.92 × 1,658.97
  4. Step 4: Simplify right side
    1,747.53x = 4,343,050.74
  5. Step 5: Solve for x
    x = 4,343,050.74/1,747.53
  6. Step 6: Final answer
    x = 2,485.25

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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.