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Finding the Fourth Proportional to 1,449.17, 1,987.87 and 1,365.33

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Solution

The fourth proportional to 1,449.17, 1,987.87 and 1,365.33 is: 1,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.17 : 1,987.87 = 1,365.33 : x
  2. Step 2: Convert to fraction form
    1,449.17/1,987.87 = 1,365.33/x
  3. Step 3: Cross multiply
    1,449.17x = 1,987.87 × 1,365.33
  4. Step 4: Simplify right side
    1,449.17x = 2,714,098.55
  5. Step 5: Solve for x
    x = 2,714,098.55/1,449.17
  6. Step 6: Final answer
    x = 1,872.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.