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Finding the Fourth Proportional to 2,296.22, 3,167.85 and 1,410.48

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Solution

The fourth proportional to 2,296.22, 3,167.85 and 1,410.48 is: 1,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.22 : 3,167.85 = 1,410.48 : x
  2. Step 2: Convert to fraction form
    2,296.22/3,167.85 = 1,410.48/x
  3. Step 3: Cross multiply
    2,296.22x = 3,167.85 × 1,410.48
  4. Step 4: Simplify right side
    2,296.22x = 4,468,194.36
  5. Step 5: Solve for x
    x = 4,468,194.36/2,296.22
  6. Step 6: Final answer
    x = 1,945.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.