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Finding the Fourth Proportional to 2,713.06, 4,069.59 and 2,168.70

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Solution

The fourth proportional to 2,713.06, 4,069.59 and 2,168.70 is: 3,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.06 : 4,069.59 = 2,168.70 : x
  2. Step 2: Convert to fraction form
    2,713.06/4,069.59 = 2,168.70/x
  3. Step 3: Cross multiply
    2,713.06x = 4,069.59 × 2,168.70
  4. Step 4: Simplify right side
    2,713.06x = 8,825,719.83
  5. Step 5: Solve for x
    x = 8,825,719.83/2,713.06
  6. Step 6: Final answer
    x = 3,253.05

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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.