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Finding the Fourth Proportional to 2,081.56, 3,119.25 and 847.46

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Solution

The fourth proportional to 2,081.56, 3,119.25 and 847.46 is: 1,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.56 : 3,119.25 = 847.46 : x
  2. Step 2: Convert to fraction form
    2,081.56/3,119.25 = 847.46/x
  3. Step 3: Cross multiply
    2,081.56x = 3,119.25 × 847.46
  4. Step 4: Simplify right side
    2,081.56x = 2,643,439.61
  5. Step 5: Solve for x
    x = 2,643,439.61/2,081.56
  6. Step 6: Final answer
    x = 1,269.93

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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.