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Finding the Fourth Proportional to 3,103.76, 4,655.62 and 1,348.53

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Solution

The fourth proportional to 3,103.76, 4,655.62 and 1,348.53 is: 2,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.76 : 4,655.62 = 1,348.53 : x
  2. Step 2: Convert to fraction form
    3,103.76/4,655.62 = 1,348.53/x
  3. Step 3: Cross multiply
    3,103.76x = 4,655.62 × 1,348.53
  4. Step 4: Simplify right side
    3,103.76x = 6,278,239.87
  5. Step 5: Solve for x
    x = 6,278,239.87/3,103.76
  6. Step 6: Final answer
    x = 2,022.79

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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.