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Finding the Fourth Proportional to 2,195.20, 3,293.20 and 734.08

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Solution

The fourth proportional to 2,195.20, 3,293.20 and 734.08 is: 1,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.20 : 3,293.20 = 734.08 : x
  2. Step 2: Convert to fraction form
    2,195.20/3,293.20 = 734.08/x
  3. Step 3: Cross multiply
    2,195.20x = 3,293.20 × 734.08
  4. Step 4: Simplify right side
    2,195.20x = 2,417,472.26
  5. Step 5: Solve for x
    x = 2,417,472.26/2,195.20
  6. Step 6: Final answer
    x = 1,101.25

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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.