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Finding the Fourth Proportional to 2,229.79, 3,357.72 and 1,648.88

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Solution

The fourth proportional to 2,229.79, 3,357.72 and 1,648.88 is: 2,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.79 : 3,357.72 = 1,648.88 : x
  2. Step 2: Convert to fraction form
    2,229.79/3,357.72 = 1,648.88/x
  3. Step 3: Cross multiply
    2,229.79x = 3,357.72 × 1,648.88
  4. Step 4: Simplify right side
    2,229.79x = 5,536,481.81
  5. Step 5: Solve for x
    x = 5,536,481.81/2,229.79
  6. Step 6: Final answer
    x = 2,482.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.