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Finding the Fourth Proportional to 2,295.52, 3,443.37 and 1,199.14

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Solution

The fourth proportional to 2,295.52, 3,443.37 and 1,199.14 is: 1,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.52 : 3,443.37 = 1,199.14 : x
  2. Step 2: Convert to fraction form
    2,295.52/3,443.37 = 1,199.14/x
  3. Step 3: Cross multiply
    2,295.52x = 3,443.37 × 1,199.14
  4. Step 4: Simplify right side
    2,295.52x = 4,129,082.70
  5. Step 5: Solve for x
    x = 4,129,082.70/2,295.52
  6. Step 6: Final answer
    x = 1,798.76

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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.