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Finding the Fourth Proportional to 1,668.46, 2,497.24 and 1,229.52

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Solution

The fourth proportional to 1,668.46, 2,497.24 and 1,229.52 is: 1,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.46 : 2,497.24 = 1,229.52 : x
  2. Step 2: Convert to fraction form
    1,668.46/2,497.24 = 1,229.52/x
  3. Step 3: Cross multiply
    1,668.46x = 2,497.24 × 1,229.52
  4. Step 4: Simplify right side
    1,668.46x = 3,070,406.52
  5. Step 5: Solve for x
    x = 3,070,406.52/1,668.46
  6. Step 6: Final answer
    x = 1,840.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.