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Finding the Fourth Proportional to 2,720.54, 4,081.34 and 965.62

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Solution

The fourth proportional to 2,720.54, 4,081.34 and 965.62 is: 1,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.54 : 4,081.34 = 965.62 : x
  2. Step 2: Convert to fraction form
    2,720.54/4,081.34 = 965.62/x
  3. Step 3: Cross multiply
    2,720.54x = 4,081.34 × 965.62
  4. Step 4: Simplify right side
    2,720.54x = 3,941,025.61
  5. Step 5: Solve for x
    x = 3,941,025.61/2,720.54
  6. Step 6: Final answer
    x = 1,448.62

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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.