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Finding the Fourth Proportional to 2,000.95, 3,001.89 and 702.42

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Solution

The fourth proportional to 2,000.95, 3,001.89 and 702.42 is: 1,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.95 : 3,001.89 = 702.42 : x
  2. Step 2: Convert to fraction form
    2,000.95/3,001.89 = 702.42/x
  3. Step 3: Cross multiply
    2,000.95x = 3,001.89 × 702.42
  4. Step 4: Simplify right side
    2,000.95x = 2,108,589.91
  5. Step 5: Solve for x
    x = 2,108,589.91/2,000.95
  6. Step 6: Final answer
    x = 1,053.79

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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.