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Finding the Fourth Proportional to 3,046.97, 4,568.40 and 1,098.92

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Solution

The fourth proportional to 3,046.97, 4,568.40 and 1,098.92 is: 1,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.97 : 4,568.40 = 1,098.92 : x
  2. Step 2: Convert to fraction form
    3,046.97/4,568.40 = 1,098.92/x
  3. Step 3: Cross multiply
    3,046.97x = 4,568.40 × 1,098.92
  4. Step 4: Simplify right side
    3,046.97x = 5,020,283.29
  5. Step 5: Solve for x
    x = 5,020,283.29/3,046.97
  6. Step 6: Final answer
    x = 1,647.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.