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Finding the Fourth Proportional to 2,226.64, 3,337.80 and 927.40

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Solution

The fourth proportional to 2,226.64, 3,337.80 and 927.40 is: 1,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.64 : 3,337.80 = 927.40 : x
  2. Step 2: Convert to fraction form
    2,226.64/3,337.80 = 927.40/x
  3. Step 3: Cross multiply
    2,226.64x = 3,337.80 × 927.40
  4. Step 4: Simplify right side
    2,226.64x = 3,095,475.72
  5. Step 5: Solve for x
    x = 3,095,475.72/2,226.64
  6. Step 6: Final answer
    x = 1,390.20

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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.