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Finding the Fourth Proportional to 2,276.34, 3,414.87 and 815.46

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Solution

The fourth proportional to 2,276.34, 3,414.87 and 815.46 is: 1,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.34 : 3,414.87 = 815.46 : x
  2. Step 2: Convert to fraction form
    2,276.34/3,414.87 = 815.46/x
  3. Step 3: Cross multiply
    2,276.34x = 3,414.87 × 815.46
  4. Step 4: Simplify right side
    2,276.34x = 2,784,689.89
  5. Step 5: Solve for x
    x = 2,784,689.89/2,276.34
  6. Step 6: Final answer
    x = 1,223.32

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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.