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Finding the Fourth Proportional to 2,042.67, 3,062.52 and 655.23

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Solution

The fourth proportional to 2,042.67, 3,062.52 and 655.23 is: 982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.67 : 3,062.52 = 655.23 : x
  2. Step 2: Convert to fraction form
    2,042.67/3,062.52 = 655.23/x
  3. Step 3: Cross multiply
    2,042.67x = 3,062.52 × 655.23
  4. Step 4: Simplify right side
    2,042.67x = 2,006,654.98
  5. Step 5: Solve for x
    x = 2,006,654.98/2,042.67
  6. Step 6: Final answer
    x = 982.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.