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Finding the Fourth Proportional to 3,046.61, 4,569.92 and 1,098.82

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Solution

The fourth proportional to 3,046.61, 4,569.92 and 1,098.82 is: 1,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.61 : 4,569.92 = 1,098.82 : x
  2. Step 2: Convert to fraction form
    3,046.61/4,569.92 = 1,098.82/x
  3. Step 3: Cross multiply
    3,046.61x = 4,569.92 × 1,098.82
  4. Step 4: Simplify right side
    3,046.61x = 5,021,510.82
  5. Step 5: Solve for x
    x = 5,021,510.82/3,046.61
  6. Step 6: Final answer
    x = 1,648.23

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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.