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Finding the Fourth Proportional to 3,242.11, 4,862.76 and 902.29

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Solution

The fourth proportional to 3,242.11, 4,862.76 and 902.29 is: 1,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.11 : 4,862.76 = 902.29 : x
  2. Step 2: Convert to fraction form
    3,242.11/4,862.76 = 902.29/x
  3. Step 3: Cross multiply
    3,242.11x = 4,862.76 × 902.29
  4. Step 4: Simplify right side
    3,242.11x = 4,387,619.72
  5. Step 5: Solve for x
    x = 4,387,619.72/3,242.11
  6. Step 6: Final answer
    x = 1,353.32

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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.