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Finding the Fourth Proportional to 3,098.88, 4,647.40 and 1,249.40

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Solution

The fourth proportional to 3,098.88, 4,647.40 and 1,249.40 is: 1,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.88 : 4,647.40 = 1,249.40 : x
  2. Step 2: Convert to fraction form
    3,098.88/4,647.40 = 1,249.40/x
  3. Step 3: Cross multiply
    3,098.88x = 4,647.40 × 1,249.40
  4. Step 4: Simplify right side
    3,098.88x = 5,806,461.56
  5. Step 5: Solve for x
    x = 5,806,461.56/3,098.88
  6. Step 6: Final answer
    x = 1,873.73

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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.