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Finding the Fourth Proportional to 2,522.92, 3,785.86 and 1,136.32

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Solution

The fourth proportional to 2,522.92, 3,785.86 and 1,136.32 is: 1,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.92 : 3,785.86 = 1,136.32 : x
  2. Step 2: Convert to fraction form
    2,522.92/3,785.86 = 1,136.32/x
  3. Step 3: Cross multiply
    2,522.92x = 3,785.86 × 1,136.32
  4. Step 4: Simplify right side
    2,522.92x = 4,301,948.44
  5. Step 5: Solve for x
    x = 4,301,948.44/2,522.92
  6. Step 6: Final answer
    x = 1,705.15

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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.