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Finding the Fourth Proportional to 2,651.26, 3,658.55 and 1,472.31

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Solution

The fourth proportional to 2,651.26, 3,658.55 and 1,472.31 is: 2,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.26 : 3,658.55 = 1,472.31 : x
  2. Step 2: Convert to fraction form
    2,651.26/3,658.55 = 1,472.31/x
  3. Step 3: Cross multiply
    2,651.26x = 3,658.55 × 1,472.31
  4. Step 4: Simplify right side
    2,651.26x = 5,386,519.75
  5. Step 5: Solve for x
    x = 5,386,519.75/2,651.26
  6. Step 6: Final answer
    x = 2,031.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.