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Finding the Fourth Proportional to 2,427.71, 3,640.64 and 867.42

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Solution

The fourth proportional to 2,427.71, 3,640.64 and 867.42 is: 1,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.71 : 3,640.64 = 867.42 : x
  2. Step 2: Convert to fraction form
    2,427.71/3,640.64 = 867.42/x
  3. Step 3: Cross multiply
    2,427.71x = 3,640.64 × 867.42
  4. Step 4: Simplify right side
    2,427.71x = 3,157,959.61
  5. Step 5: Solve for x
    x = 3,157,959.61/2,427.71
  6. Step 6: Final answer
    x = 1,300.80

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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.