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Finding the Fourth Proportional to 2,534.60, 3,497.15 and 1,472.54

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Solution

The fourth proportional to 2,534.60, 3,497.15 and 1,472.54 is: 2,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.60 : 3,497.15 = 1,472.54 : x
  2. Step 2: Convert to fraction form
    2,534.60/3,497.15 = 1,472.54/x
  3. Step 3: Cross multiply
    2,534.60x = 3,497.15 × 1,472.54
  4. Step 4: Simplify right side
    2,534.60x = 5,149,668.41
  5. Step 5: Solve for x
    x = 5,149,668.41/2,534.60
  6. Step 6: Final answer
    x = 2,031.75

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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.