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Finding the Fourth Proportional to 2,199.57, 3,298.22 and 1,160.13

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Solution

The fourth proportional to 2,199.57, 3,298.22 and 1,160.13 is: 1,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.57 : 3,298.22 = 1,160.13 : x
  2. Step 2: Convert to fraction form
    2,199.57/3,298.22 = 1,160.13/x
  3. Step 3: Cross multiply
    2,199.57x = 3,298.22 × 1,160.13
  4. Step 4: Simplify right side
    2,199.57x = 3,826,363.97
  5. Step 5: Solve for x
    x = 3,826,363.97/2,199.57
  6. Step 6: Final answer
    x = 1,739.60

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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.