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Finding the Fourth Proportional to 2,042.12, 3,062.24 and 655.18

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Solution

The fourth proportional to 2,042.12, 3,062.24 and 655.18 is: 982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.12 : 3,062.24 = 655.18 : x
  2. Step 2: Convert to fraction form
    2,042.12/3,062.24 = 655.18/x
  3. Step 3: Cross multiply
    2,042.12x = 3,062.24 × 655.18
  4. Step 4: Simplify right side
    2,042.12x = 2,006,318.40
  5. Step 5: Solve for x
    x = 2,006,318.40/2,042.12
  6. Step 6: Final answer
    x = 982.47

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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.