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Finding the Fourth Proportional to 2,196.52, 3,295.31 and 897.99

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Solution

The fourth proportional to 2,196.52, 3,295.31 and 897.99 is: 1,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.52 : 3,295.31 = 897.99 : x
  2. Step 2: Convert to fraction form
    2,196.52/3,295.31 = 897.99/x
  3. Step 3: Cross multiply
    2,196.52x = 3,295.31 × 897.99
  4. Step 4: Simplify right side
    2,196.52x = 2,959,134.46
  5. Step 5: Solve for x
    x = 2,959,134.46/2,196.52
  6. Step 6: Final answer
    x = 1,347.20

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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.