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Finding the Fourth Proportional to 2,461.23, 3,691.85 and 901.44

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Solution

The fourth proportional to 2,461.23, 3,691.85 and 901.44 is: 1,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.23 : 3,691.85 = 901.44 : x
  2. Step 2: Convert to fraction form
    2,461.23/3,691.85 = 901.44/x
  3. Step 3: Cross multiply
    2,461.23x = 3,691.85 × 901.44
  4. Step 4: Simplify right side
    2,461.23x = 3,327,976.76
  5. Step 5: Solve for x
    x = 3,327,976.76/2,461.23
  6. Step 6: Final answer
    x = 1,352.16

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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.