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Finding the Fourth Proportional to 2,552.92, 3,829.14 and 887.00

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Solution

The fourth proportional to 2,552.92, 3,829.14 and 887.00 is: 1,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.92 : 3,829.14 = 887.00 : x
  2. Step 2: Convert to fraction form
    2,552.92/3,829.14 = 887.00/x
  3. Step 3: Cross multiply
    2,552.92x = 3,829.14 × 887.00
  4. Step 4: Simplify right side
    2,552.92x = 3,396,449.57
  5. Step 5: Solve for x
    x = 3,396,449.57/2,552.92
  6. Step 6: Final answer
    x = 1,330.42

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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.