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Finding the Fourth Proportional to 2,001.28, 3,001.47 and 702.75

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Solution

The fourth proportional to 2,001.28, 3,001.47 and 702.75 is: 1,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.28 : 3,001.47 = 702.75 : x
  2. Step 2: Convert to fraction form
    2,001.28/3,001.47 = 702.75/x
  3. Step 3: Cross multiply
    2,001.28x = 3,001.47 × 702.75
  4. Step 4: Simplify right side
    2,001.28x = 2,109,283.04
  5. Step 5: Solve for x
    x = 2,109,283.04/2,001.28
  6. Step 6: Final answer
    x = 1,053.97

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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.