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Finding the Fourth Proportional to 2,296.13, 3,442.10 and 1,201.23

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Solution

The fourth proportional to 2,296.13, 3,442.10 and 1,201.23 is: 1,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.13 : 3,442.10 = 1,201.23 : x
  2. Step 2: Convert to fraction form
    2,296.13/3,442.10 = 1,201.23/x
  3. Step 3: Cross multiply
    2,296.13x = 3,442.10 × 1,201.23
  4. Step 4: Simplify right side
    2,296.13x = 4,134,747.78
  5. Step 5: Solve for x
    x = 4,134,747.78/2,296.13
  6. Step 6: Final answer
    x = 1,800.75

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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.