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Finding the Fourth Proportional to 1,449.57, 1,997.72 and 1,029.94

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Solution

The fourth proportional to 1,449.57, 1,997.72 and 1,029.94 is: 1,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.57 : 1,997.72 = 1,029.94 : x
  2. Step 2: Convert to fraction form
    1,449.57/1,997.72 = 1,029.94/x
  3. Step 3: Cross multiply
    1,449.57x = 1,997.72 × 1,029.94
  4. Step 4: Simplify right side
    1,449.57x = 2,057,531.74
  5. Step 5: Solve for x
    x = 2,057,531.74/1,449.57
  6. Step 6: Final answer
    x = 1,419.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.