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Finding the Fourth Proportional to 2,078.20, 3,117.30 and 539.20

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Solution

The fourth proportional to 2,078.20, 3,117.30 and 539.20 is: 808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.20 : 3,117.30 = 539.20 : x
  2. Step 2: Convert to fraction form
    2,078.20/3,117.30 = 539.20/x
  3. Step 3: Cross multiply
    2,078.20x = 3,117.30 × 539.20
  4. Step 4: Simplify right side
    2,078.20x = 1,680,832.57
  5. Step 5: Solve for x
    x = 1,680,832.57/2,078.20
  6. Step 6: Final answer
    x = 808.79

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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.