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Finding the Fourth Proportional to 2,227.64, 3,339.30 and 928.40

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Solution

The fourth proportional to 2,227.64, 3,339.30 and 928.40 is: 1,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.64 : 3,339.30 = 928.40 : x
  2. Step 2: Convert to fraction form
    2,227.64/3,339.30 = 928.40/x
  3. Step 3: Cross multiply
    2,227.64x = 3,339.30 × 928.40
  4. Step 4: Simplify right side
    2,227.64x = 3,100,206.12
  5. Step 5: Solve for x
    x = 3,100,206.12/2,227.64
  6. Step 6: Final answer
    x = 1,391.70

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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.