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Finding the Fourth Proportional to 2,196.23, 3,295.56 and 898.61

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Solution

The fourth proportional to 2,196.23, 3,295.56 and 898.61 is: 1,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.23 : 3,295.56 = 898.61 : x
  2. Step 2: Convert to fraction form
    2,196.23/3,295.56 = 898.61/x
  3. Step 3: Cross multiply
    2,196.23x = 3,295.56 × 898.61
  4. Step 4: Simplify right side
    2,196.23x = 2,961,412.69
  5. Step 5: Solve for x
    x = 2,961,412.69/2,196.23
  6. Step 6: Final answer
    x = 1,348.41

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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.