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Finding the Fourth Proportional to 3,196.24, 4,794.40 and 887.76

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Solution

The fourth proportional to 3,196.24, 4,794.40 and 887.76 is: 1,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.24 : 4,794.40 = 887.76 : x
  2. Step 2: Convert to fraction form
    3,196.24/4,794.40 = 887.76/x
  3. Step 3: Cross multiply
    3,196.24x = 4,794.40 × 887.76
  4. Step 4: Simplify right side
    3,196.24x = 4,256,276.54
  5. Step 5: Solve for x
    x = 4,256,276.54/3,196.24
  6. Step 6: Final answer
    x = 1,331.65

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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.