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Finding the Fourth Proportional to 2,615.80, 3,917.22 and 1,459.12

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Solution

The fourth proportional to 2,615.80, 3,917.22 and 1,459.12 is: 2,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.80 : 3,917.22 = 1,459.12 : x
  2. Step 2: Convert to fraction form
    2,615.80/3,917.22 = 1,459.12/x
  3. Step 3: Cross multiply
    2,615.80x = 3,917.22 × 1,459.12
  4. Step 4: Simplify right side
    2,615.80x = 5,715,694.05
  5. Step 5: Solve for x
    x = 5,715,694.05/2,615.80
  6. Step 6: Final answer
    x = 2,185.07

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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.