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Finding the Fourth Proportional to 2,785.86, 4,175.16 and 2,491.62

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Solution

The fourth proportional to 2,785.86, 4,175.16 and 2,491.62 is: 3,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.86 : 4,175.16 = 2,491.62 : x
  2. Step 2: Convert to fraction form
    2,785.86/4,175.16 = 2,491.62/x
  3. Step 3: Cross multiply
    2,785.86x = 4,175.16 × 2,491.62
  4. Step 4: Simplify right side
    2,785.86x = 10,402,912.16
  5. Step 5: Solve for x
    x = 10,402,912.16/2,785.86
  6. Step 6: Final answer
    x = 3,734.18

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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.