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Finding the Fourth Proportional to 2,196.42, 3,294.48 and 963.68

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Solution

The fourth proportional to 2,196.42, 3,294.48 and 963.68 is: 1,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.42 : 3,294.48 = 963.68 : x
  2. Step 2: Convert to fraction form
    2,196.42/3,294.48 = 963.68/x
  3. Step 3: Cross multiply
    2,196.42x = 3,294.48 × 963.68
  4. Step 4: Simplify right side
    2,196.42x = 3,174,824.49
  5. Step 5: Solve for x
    x = 3,174,824.49/2,196.42
  6. Step 6: Final answer
    x = 1,445.45

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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.