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Finding the Fourth Proportional to 2,647.76, 3,654.02 and 1,468.82

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Solution

The fourth proportional to 2,647.76, 3,654.02 and 1,468.82 is: 2,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.76 : 3,654.02 = 1,468.82 : x
  2. Step 2: Convert to fraction form
    2,647.76/3,654.02 = 1,468.82/x
  3. Step 3: Cross multiply
    2,647.76x = 3,654.02 × 1,468.82
  4. Step 4: Simplify right side
    2,647.76x = 5,367,110.46
  5. Step 5: Solve for x
    x = 5,367,110.46/2,647.76
  6. Step 6: Final answer
    x = 2,027.04

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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.