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Finding the Fourth Proportional to 3,175.53, 4,382.08 and 1,849.15

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Solution

The fourth proportional to 3,175.53, 4,382.08 and 1,849.15 is: 2,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.53 : 4,382.08 = 1,849.15 : x
  2. Step 2: Convert to fraction form
    3,175.53/4,382.08 = 1,849.15/x
  3. Step 3: Cross multiply
    3,175.53x = 4,382.08 × 1,849.15
  4. Step 4: Simplify right side
    3,175.53x = 8,103,123.23
  5. Step 5: Solve for x
    x = 8,103,123.23/3,175.53
  6. Step 6: Final answer
    x = 2,551.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.