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Finding the Fourth Proportional to 1,489.35, 2,229.84 and 1,001.46

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Solution

The fourth proportional to 1,489.35, 2,229.84 and 1,001.46 is: 1,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.35 : 2,229.84 = 1,001.46 : x
  2. Step 2: Convert to fraction form
    1,489.35/2,229.84 = 1,001.46/x
  3. Step 3: Cross multiply
    1,489.35x = 2,229.84 × 1,001.46
  4. Step 4: Simplify right side
    1,489.35x = 2,233,095.57
  5. Step 5: Solve for x
    x = 2,233,095.57/1,489.35
  6. Step 6: Final answer
    x = 1,499.38

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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.