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Finding the Fourth Proportional to 2,763.32, 4,143.60 and 815.12

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Solution

The fourth proportional to 2,763.32, 4,143.60 and 815.12 is: 1,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.32 : 4,143.60 = 815.12 : x
  2. Step 2: Convert to fraction form
    2,763.32/4,143.60 = 815.12/x
  3. Step 3: Cross multiply
    2,763.32x = 4,143.60 × 815.12
  4. Step 4: Simplify right side
    2,763.32x = 3,377,531.23
  5. Step 5: Solve for x
    x = 3,377,531.23/2,763.32
  6. Step 6: Final answer
    x = 1,222.27

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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.