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Finding the Fourth Proportional to 1,461.29, 2,191.95 and 487.39

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Solution

The fourth proportional to 1,461.29, 2,191.95 and 487.39 is: 731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.29 : 2,191.95 = 487.39 : x
  2. Step 2: Convert to fraction form
    1,461.29/2,191.95 = 487.39/x
  3. Step 3: Cross multiply
    1,461.29x = 2,191.95 × 487.39
  4. Step 4: Simplify right side
    1,461.29x = 1,068,327.81
  5. Step 5: Solve for x
    x = 1,068,327.81/1,461.29
  6. Step 6: Final answer
    x = 731.09

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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.