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Finding the Fourth Proportional to 2,618.50, 3,928.76 and 887.12

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Solution

The fourth proportional to 2,618.50, 3,928.76 and 887.12 is: 1,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.50 : 3,928.76 = 887.12 : x
  2. Step 2: Convert to fraction form
    2,618.50/3,928.76 = 887.12/x
  3. Step 3: Cross multiply
    2,618.50x = 3,928.76 × 887.12
  4. Step 4: Simplify right side
    2,618.50x = 3,485,281.57
  5. Step 5: Solve for x
    x = 3,485,281.57/2,618.50
  6. Step 6: Final answer
    x = 1,331.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.