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Finding the Fourth Proportional to 2,196.56, 3,295.60 and 1,156.88

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Solution

The fourth proportional to 2,196.56, 3,295.60 and 1,156.88 is: 1,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.56 : 3,295.60 = 1,156.88 : x
  2. Step 2: Convert to fraction form
    2,196.56/3,295.60 = 1,156.88/x
  3. Step 3: Cross multiply
    2,196.56x = 3,295.60 × 1,156.88
  4. Step 4: Simplify right side
    2,196.56x = 3,812,613.73
  5. Step 5: Solve for x
    x = 3,812,613.73/2,196.56
  6. Step 6: Final answer
    x = 1,735.72

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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.