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Finding the Fourth Proportional to 3,098.64, 4,646.82 and 1,249.14

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Solution

The fourth proportional to 3,098.64, 4,646.82 and 1,249.14 is: 1,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.64 : 4,646.82 = 1,249.14 : x
  2. Step 2: Convert to fraction form
    3,098.64/4,646.82 = 1,249.14/x
  3. Step 3: Cross multiply
    3,098.64x = 4,646.82 × 1,249.14
  4. Step 4: Simplify right side
    3,098.64x = 5,804,528.73
  5. Step 5: Solve for x
    x = 5,804,528.73/3,098.64
  6. Step 6: Final answer
    x = 1,873.25

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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.