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Finding the Fourth Proportional to 2,567.90, 3,825.31 and 2,490.44

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Solution

The fourth proportional to 2,567.90, 3,825.31 and 2,490.44 is: 3,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.90 : 3,825.31 = 2,490.44 : x
  2. Step 2: Convert to fraction form
    2,567.90/3,825.31 = 2,490.44/x
  3. Step 3: Cross multiply
    2,567.90x = 3,825.31 × 2,490.44
  4. Step 4: Simplify right side
    2,567.90x = 9,526,705.04
  5. Step 5: Solve for x
    x = 9,526,705.04/2,567.90
  6. Step 6: Final answer
    x = 3,709.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.