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Finding the Fourth Proportional to 2,276.24, 3,414 and 632.96

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Solution

The fourth proportional to 2,276.24, 3,414 and 632.96 is: 949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.24 : 3,414 = 632.96 : x
  2. Step 2: Convert to fraction form
    2,276.24/3,414 = 632.96/x
  3. Step 3: Cross multiply
    2,276.24x = 3,414 × 632.96
  4. Step 4: Simplify right side
    2,276.24x = 2,160,925.44
  5. Step 5: Solve for x
    x = 2,160,925.44/2,276.24
  6. Step 6: Final answer
    x = 949.34

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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.