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Finding the Fourth Proportional to 2,003.52, 2,763.27 and 1,217.55

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Solution

The fourth proportional to 2,003.52, 2,763.27 and 1,217.55 is: 1,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.52 : 2,763.27 = 1,217.55 : x
  2. Step 2: Convert to fraction form
    2,003.52/2,763.27 = 1,217.55/x
  3. Step 3: Cross multiply
    2,003.52x = 2,763.27 × 1,217.55
  4. Step 4: Simplify right side
    2,003.52x = 3,364,419.39
  5. Step 5: Solve for x
    x = 3,364,419.39/2,003.52
  6. Step 6: Final answer
    x = 1,679.25

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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.