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Finding the Fourth Proportional to 2,516.74, 3,775.42 and 667.89

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Solution

The fourth proportional to 2,516.74, 3,775.42 and 667.89 is: 1,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.74 : 3,775.42 = 667.89 : x
  2. Step 2: Convert to fraction form
    2,516.74/3,775.42 = 667.89/x
  3. Step 3: Cross multiply
    2,516.74x = 3,775.42 × 667.89
  4. Step 4: Simplify right side
    2,516.74x = 2,521,565.26
  5. Step 5: Solve for x
    x = 2,521,565.26/2,516.74
  6. Step 6: Final answer
    x = 1,001.92

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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.