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Finding the Fourth Proportional to 3,175.14, 4,762.02 and 2,248.11

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Solution

The fourth proportional to 3,175.14, 4,762.02 and 2,248.11 is: 3,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.14 : 4,762.02 = 2,248.11 : x
  2. Step 2: Convert to fraction form
    3,175.14/4,762.02 = 2,248.11/x
  3. Step 3: Cross multiply
    3,175.14x = 4,762.02 × 2,248.11
  4. Step 4: Simplify right side
    3,175.14x = 10,705,544.78
  5. Step 5: Solve for x
    x = 10,705,544.78/3,175.14
  6. Step 6: Final answer
    x = 3,371.68

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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.