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Finding the Fourth Proportional to 2,196.45, 3,295.55 and 964.57

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Solution

The fourth proportional to 2,196.45, 3,295.55 and 964.57 is: 1,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.45 : 3,295.55 = 964.57 : x
  2. Step 2: Convert to fraction form
    2,196.45/3,295.55 = 964.57/x
  3. Step 3: Cross multiply
    2,196.45x = 3,295.55 × 964.57
  4. Step 4: Simplify right side
    2,196.45x = 3,178,788.66
  5. Step 5: Solve for x
    x = 3,178,788.66/2,196.45
  6. Step 6: Final answer
    x = 1,447.24

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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.