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Finding the Fourth Proportional to 2,567.38, 3,850.52 and 1,006.89

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Solution

The fourth proportional to 2,567.38, 3,850.52 and 1,006.89 is: 1,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.38 : 3,850.52 = 1,006.89 : x
  2. Step 2: Convert to fraction form
    2,567.38/3,850.52 = 1,006.89/x
  3. Step 3: Cross multiply
    2,567.38x = 3,850.52 × 1,006.89
  4. Step 4: Simplify right side
    2,567.38x = 3,877,050.08
  5. Step 5: Solve for x
    x = 3,877,050.08/2,567.38
  6. Step 6: Final answer
    x = 1,510.12

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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.