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Finding the Fourth Proportional to 2,414.80, 3,332.91 and 1,575.64

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Solution

The fourth proportional to 2,414.80, 3,332.91 and 1,575.64 is: 2,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.80 : 3,332.91 = 1,575.64 : x
  2. Step 2: Convert to fraction form
    2,414.80/3,332.91 = 1,575.64/x
  3. Step 3: Cross multiply
    2,414.80x = 3,332.91 × 1,575.64
  4. Step 4: Simplify right side
    2,414.80x = 5,251,466.31
  5. Step 5: Solve for x
    x = 5,251,466.31/2,414.80
  6. Step 6: Final answer
    x = 2,174.70

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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.