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Finding the Fourth Proportional to 2,046.72, 2,822.04 and 1,747.92

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Solution

The fourth proportional to 2,046.72, 2,822.04 and 1,747.92 is: 2,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.72 : 2,822.04 = 1,747.92 : x
  2. Step 2: Convert to fraction form
    2,046.72/2,822.04 = 1,747.92/x
  3. Step 3: Cross multiply
    2,046.72x = 2,822.04 × 1,747.92
  4. Step 4: Simplify right side
    2,046.72x = 4,932,700.16
  5. Step 5: Solve for x
    x = 4,932,700.16/2,046.72
  6. Step 6: Final answer
    x = 2,410.05

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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.