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Finding the Fourth Proportional to 2,226.46, 3,337.89 and 928.90

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Solution

The fourth proportional to 2,226.46, 3,337.89 and 928.90 is: 1,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.46 : 3,337.89 = 928.90 : x
  2. Step 2: Convert to fraction form
    2,226.46/3,337.89 = 928.90/x
  3. Step 3: Cross multiply
    2,226.46x = 3,337.89 × 928.90
  4. Step 4: Simplify right side
    2,226.46x = 3,100,566.02
  5. Step 5: Solve for x
    x = 3,100,566.02/2,226.46
  6. Step 6: Final answer
    x = 1,392.60

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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.