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Finding the Fourth Proportional to 2,276.48, 3,414.56 and 815.68

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Solution

The fourth proportional to 2,276.48, 3,414.56 and 815.68 is: 1,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.48 : 3,414.56 = 815.68 : x
  2. Step 2: Convert to fraction form
    2,276.48/3,414.56 = 815.68/x
  3. Step 3: Cross multiply
    2,276.48x = 3,414.56 × 815.68
  4. Step 4: Simplify right side
    2,276.48x = 2,785,173.87
  5. Step 5: Solve for x
    x = 2,785,173.87/2,276.48
  6. Step 6: Final answer
    x = 1,223.46

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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.