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Finding the Fourth Proportional to 2,085.55, 3,129.84 and 1,539.20

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Solution

The fourth proportional to 2,085.55, 3,129.84 and 1,539.20 is: 2,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.55 : 3,129.84 = 1,539.20 : x
  2. Step 2: Convert to fraction form
    2,085.55/3,129.84 = 1,539.20/x
  3. Step 3: Cross multiply
    2,085.55x = 3,129.84 × 1,539.20
  4. Step 4: Simplify right side
    2,085.55x = 4,817,449.73
  5. Step 5: Solve for x
    x = 4,817,449.73/2,085.55
  6. Step 6: Final answer
    x = 2,309.92

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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.