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Finding the Fourth Proportional to 2,276.09, 3,414.13 and 815.35

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Solution

The fourth proportional to 2,276.09, 3,414.13 and 815.35 is: 1,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.09 : 3,414.13 = 815.35 : x
  2. Step 2: Convert to fraction form
    2,276.09/3,414.13 = 815.35/x
  3. Step 3: Cross multiply
    2,276.09x = 3,414.13 × 815.35
  4. Step 4: Simplify right side
    2,276.09x = 2,783,710.90
  5. Step 5: Solve for x
    x = 2,783,710.90/2,276.09
  6. Step 6: Final answer
    x = 1,223.02

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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.