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Finding the Fourth Proportional to 1,659.20, 2,488.80 and 1,613.12

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Solution

The fourth proportional to 1,659.20, 2,488.80 and 1,613.12 is: 2,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.20 : 2,488.80 = 1,613.12 : x
  2. Step 2: Convert to fraction form
    1,659.20/2,488.80 = 1,613.12/x
  3. Step 3: Cross multiply
    1,659.20x = 2,488.80 × 1,613.12
  4. Step 4: Simplify right side
    1,659.20x = 4,014,733.06
  5. Step 5: Solve for x
    x = 4,014,733.06/1,659.20
  6. Step 6: Final answer
    x = 2,419.68

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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.