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Finding the Fourth Proportional to 2,427.90, 3,641.61 and 867.42

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Solution

The fourth proportional to 2,427.90, 3,641.61 and 867.42 is: 1,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.90 : 3,641.61 = 867.42 : x
  2. Step 2: Convert to fraction form
    2,427.90/3,641.61 = 867.42/x
  3. Step 3: Cross multiply
    2,427.90x = 3,641.61 × 867.42
  4. Step 4: Simplify right side
    2,427.90x = 3,158,805.35
  5. Step 5: Solve for x
    x = 3,158,805.35/2,427.90
  6. Step 6: Final answer
    x = 1,301.04

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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.