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Finding the Fourth Proportional to 1,449.44, 1,999.49 and 917.42

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Solution

The fourth proportional to 1,449.44, 1,999.49 and 917.42 is: 1,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.44 : 1,999.49 = 917.42 : x
  2. Step 2: Convert to fraction form
    1,449.44/1,999.49 = 917.42/x
  3. Step 3: Cross multiply
    1,449.44x = 1,999.49 × 917.42
  4. Step 4: Simplify right side
    1,449.44x = 1,834,372.53
  5. Step 5: Solve for x
    x = 1,834,372.53/1,449.44
  6. Step 6: Final answer
    x = 1,265.57

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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.