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Finding the Fourth Proportional to 3,258.20, 4,888.20 and 1,614.80

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Solution

The fourth proportional to 3,258.20, 4,888.20 and 1,614.80 is: 2,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.20 : 4,888.20 = 1,614.80 : x
  2. Step 2: Convert to fraction form
    3,258.20/4,888.20 = 1,614.80/x
  3. Step 3: Cross multiply
    3,258.20x = 4,888.20 × 1,614.80
  4. Step 4: Simplify right side
    3,258.20x = 7,893,465.36
  5. Step 5: Solve for x
    x = 7,893,465.36/3,258.20
  6. Step 6: Final answer
    x = 2,422.65

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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.