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Finding the Fourth Proportional to 2,276.56, 3,414.46 and 632.67

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Solution

The fourth proportional to 2,276.56, 3,414.46 and 632.67 is: 948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.56 : 3,414.46 = 632.67 : x
  2. Step 2: Convert to fraction form
    2,276.56/3,414.46 = 632.67/x
  3. Step 3: Cross multiply
    2,276.56x = 3,414.46 × 632.67
  4. Step 4: Simplify right side
    2,276.56x = 2,160,226.41
  5. Step 5: Solve for x
    x = 2,160,226.41/2,276.56
  6. Step 6: Final answer
    x = 948.90

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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.