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Finding the Fourth Proportional to 2,195.92, 3,293.88 and 897.39

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Solution

The fourth proportional to 2,195.92, 3,293.88 and 897.39 is: 1,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.92 : 3,293.88 = 897.39 : x
  2. Step 2: Convert to fraction form
    2,195.92/3,293.88 = 897.39/x
  3. Step 3: Cross multiply
    2,195.92x = 3,293.88 × 897.39
  4. Step 4: Simplify right side
    2,195.92x = 2,955,876.26
  5. Step 5: Solve for x
    x = 2,955,876.26/2,195.92
  6. Step 6: Final answer
    x = 1,346.08

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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.