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Finding the Fourth Proportional to 2,402.47, 3,601.30 and 1,016.15

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Solution

The fourth proportional to 2,402.47, 3,601.30 and 1,016.15 is: 1,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.47 : 3,601.30 = 1,016.15 : x
  2. Step 2: Convert to fraction form
    2,402.47/3,601.30 = 1,016.15/x
  3. Step 3: Cross multiply
    2,402.47x = 3,601.30 × 1,016.15
  4. Step 4: Simplify right side
    2,402.47x = 3,659,461.00
  5. Step 5: Solve for x
    x = 3,659,461.00/2,402.47
  6. Step 6: Final answer
    x = 1,523.21

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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.