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Finding the Fourth Proportional to 2,522.65, 3,785.34 and 1,062.82

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Solution

The fourth proportional to 2,522.65, 3,785.34 and 1,062.82 is: 1,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.65 : 3,785.34 = 1,062.82 : x
  2. Step 2: Convert to fraction form
    2,522.65/3,785.34 = 1,062.82/x
  3. Step 3: Cross multiply
    2,522.65x = 3,785.34 × 1,062.82
  4. Step 4: Simplify right side
    2,522.65x = 4,023,135.06
  5. Step 5: Solve for x
    x = 4,023,135.06/2,522.65
  6. Step 6: Final answer
    x = 1,594.81

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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.