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Finding the Fourth Proportional to 2,276.49, 3,414.72 and 815.31

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Solution

The fourth proportional to 2,276.49, 3,414.72 and 815.31 is: 1,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.49 : 3,414.72 = 815.31 : x
  2. Step 2: Convert to fraction form
    2,276.49/3,414.72 = 815.31/x
  3. Step 3: Cross multiply
    2,276.49x = 3,414.72 × 815.31
  4. Step 4: Simplify right side
    2,276.49x = 2,784,055.36
  5. Step 5: Solve for x
    x = 2,784,055.36/2,276.49
  6. Step 6: Final answer
    x = 1,222.96

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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.