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Finding the Fourth Proportional to 2,217.60, 3,060.08 and 1,286

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Solution

The fourth proportional to 2,217.60, 3,060.08 and 1,286 is: 1,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.60 : 3,060.08 = 1,286 : x
  2. Step 2: Convert to fraction form
    2,217.60/3,060.08 = 1,286/x
  3. Step 3: Cross multiply
    2,217.60x = 3,060.08 × 1,286
  4. Step 4: Simplify right side
    2,217.60x = 3,935,262.88
  5. Step 5: Solve for x
    x = 3,935,262.88/2,217.60
  6. Step 6: Final answer
    x = 1,774.56

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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.