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Finding the Fourth Proportional to 2,196.24, 3,294.72 and 963.60

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Solution

The fourth proportional to 2,196.24, 3,294.72 and 963.60 is: 1,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.24 : 3,294.72 = 963.60 : x
  2. Step 2: Convert to fraction form
    2,196.24/3,294.72 = 963.60/x
  3. Step 3: Cross multiply
    2,196.24x = 3,294.72 × 963.60
  4. Step 4: Simplify right side
    2,196.24x = 3,174,792.19
  5. Step 5: Solve for x
    x = 3,174,792.19/2,196.24
  6. Step 6: Final answer
    x = 1,445.56

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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.