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Finding the Fourth Proportional to 2,196.52, 3,294.78 and 898.12

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Solution

The fourth proportional to 2,196.52, 3,294.78 and 898.12 is: 1,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.52 : 3,294.78 = 898.12 : x
  2. Step 2: Convert to fraction form
    2,196.52/3,294.78 = 898.12/x
  3. Step 3: Cross multiply
    2,196.52x = 3,294.78 × 898.12
  4. Step 4: Simplify right side
    2,196.52x = 2,959,107.81
  5. Step 5: Solve for x
    x = 2,959,107.81/2,196.52
  6. Step 6: Final answer
    x = 1,347.18

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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.