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Finding the Fourth Proportional to 2,001.31, 3,003.32 and 702.76

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Solution

The fourth proportional to 2,001.31, 3,003.32 and 702.76 is: 1,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.31 : 3,003.32 = 702.76 : x
  2. Step 2: Convert to fraction form
    2,001.31/3,003.32 = 702.76/x
  3. Step 3: Cross multiply
    2,001.31x = 3,003.32 × 702.76
  4. Step 4: Simplify right side
    2,001.31x = 2,110,613.16
  5. Step 5: Solve for x
    x = 2,110,613.16/2,001.31
  6. Step 6: Final answer
    x = 1,054.62

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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.