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Finding the Fourth Proportional to 2,702.97, 4,046.55 and 2,443.56

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Solution

The fourth proportional to 2,702.97, 4,046.55 and 2,443.56 is: 3,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.97 : 4,046.55 = 2,443.56 : x
  2. Step 2: Convert to fraction form
    2,702.97/4,046.55 = 2,443.56/x
  3. Step 3: Cross multiply
    2,702.97x = 4,046.55 × 2,443.56
  4. Step 4: Simplify right side
    2,702.97x = 9,887,975.50
  5. Step 5: Solve for x
    x = 9,887,975.50/2,702.97
  6. Step 6: Final answer
    x = 3,658.20

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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.