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Finding the Fourth Proportional to 3,098.07, 4,646.18 and 1,149.82

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Solution

The fourth proportional to 3,098.07, 4,646.18 and 1,149.82 is: 1,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.07 : 4,646.18 = 1,149.82 : x
  2. Step 2: Convert to fraction form
    3,098.07/4,646.18 = 1,149.82/x
  3. Step 3: Cross multiply
    3,098.07x = 4,646.18 × 1,149.82
  4. Step 4: Simplify right side
    3,098.07x = 5,342,261.95
  5. Step 5: Solve for x
    x = 5,342,261.95/3,098.07
  6. Step 6: Final answer
    x = 1,724.38

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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.