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Finding the Fourth Proportional to 3,025.86, 4,175.81 and 1,766.71

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Solution

The fourth proportional to 3,025.86, 4,175.81 and 1,766.71 is: 2,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.86 : 4,175.81 = 1,766.71 : x
  2. Step 2: Convert to fraction form
    3,025.86/4,175.81 = 1,766.71/x
  3. Step 3: Cross multiply
    3,025.86x = 4,175.81 × 1,766.71
  4. Step 4: Simplify right side
    3,025.86x = 7,377,445.29
  5. Step 5: Solve for x
    x = 7,377,445.29/3,025.86
  6. Step 6: Final answer
    x = 2,438.13

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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.