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Finding the Fourth Proportional to 1,663.18, 2,293.96 and 1,452.91

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Solution

The fourth proportional to 1,663.18, 2,293.96 and 1,452.91 is: 2,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.18 : 2,293.96 = 1,452.91 : x
  2. Step 2: Convert to fraction form
    1,663.18/2,293.96 = 1,452.91/x
  3. Step 3: Cross multiply
    1,663.18x = 2,293.96 × 1,452.91
  4. Step 4: Simplify right side
    1,663.18x = 3,332,917.42
  5. Step 5: Solve for x
    x = 3,332,917.42/1,663.18
  6. Step 6: Final answer
    x = 2,003.94

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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.