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Finding the Fourth Proportional to 1,546.72, 2,318.64 and 861.28

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Solution

The fourth proportional to 1,546.72, 2,318.64 and 861.28 is: 1,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.72 : 2,318.64 = 861.28 : x
  2. Step 2: Convert to fraction form
    1,546.72/2,318.64 = 861.28/x
  3. Step 3: Cross multiply
    1,546.72x = 2,318.64 × 861.28
  4. Step 4: Simplify right side
    1,546.72x = 1,996,998.26
  5. Step 5: Solve for x
    x = 1,996,998.26/1,546.72
  6. Step 6: Final answer
    x = 1,291.12

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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.