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Finding the Fourth Proportional to 2,702.24, 4,046.03 and 1,400.97

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Solution

The fourth proportional to 2,702.24, 4,046.03 and 1,400.97 is: 2,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.24 : 4,046.03 = 1,400.97 : x
  2. Step 2: Convert to fraction form
    2,702.24/4,046.03 = 1,400.97/x
  3. Step 3: Cross multiply
    2,702.24x = 4,046.03 × 1,400.97
  4. Step 4: Simplify right side
    2,702.24x = 5,668,364.75
  5. Step 5: Solve for x
    x = 5,668,364.75/2,702.24
  6. Step 6: Final answer
    x = 2,097.66

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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.