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Finding the Fourth Proportional to 2,750.08, 4,124.31 and 801.67

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Solution

The fourth proportional to 2,750.08, 4,124.31 and 801.67 is: 1,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.08 : 4,124.31 = 801.67 : x
  2. Step 2: Convert to fraction form
    2,750.08/4,124.31 = 801.67/x
  3. Step 3: Cross multiply
    2,750.08x = 4,124.31 × 801.67
  4. Step 4: Simplify right side
    2,750.08x = 3,306,335.60
  5. Step 5: Solve for x
    x = 3,306,335.60/2,750.08
  6. Step 6: Final answer
    x = 1,202.27

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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.