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Finding the Fourth Proportional to 2,226.34, 3,337.70 and 928.78

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Solution

The fourth proportional to 2,226.34, 3,337.70 and 928.78 is: 1,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.34 : 3,337.70 = 928.78 : x
  2. Step 2: Convert to fraction form
    2,226.34/3,337.70 = 928.78/x
  3. Step 3: Cross multiply
    2,226.34x = 3,337.70 × 928.78
  4. Step 4: Simplify right side
    2,226.34x = 3,099,972.32
  5. Step 5: Solve for x
    x = 3,099,972.32/2,226.34
  6. Step 6: Final answer
    x = 1,392.41

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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.