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Finding the Fourth Proportional to 2,003.52, 2,765.72 and 1,217.84

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Solution

The fourth proportional to 2,003.52, 2,765.72 and 1,217.84 is: 1,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.52 : 2,765.72 = 1,217.84 : x
  2. Step 2: Convert to fraction form
    2,003.52/2,765.72 = 1,217.84/x
  3. Step 3: Cross multiply
    2,003.52x = 2,765.72 × 1,217.84
  4. Step 4: Simplify right side
    2,003.52x = 3,368,204.44
  5. Step 5: Solve for x
    x = 3,368,204.44/2,003.52
  6. Step 6: Final answer
    x = 1,681.14

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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.