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Finding the Fourth Proportional to 2,512.02, 3,765.48 and 867.42

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Solution

The fourth proportional to 2,512.02, 3,765.48 and 867.42 is: 1,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.02 : 3,765.48 = 867.42 : x
  2. Step 2: Convert to fraction form
    2,512.02/3,765.48 = 867.42/x
  3. Step 3: Cross multiply
    2,512.02x = 3,765.48 × 867.42
  4. Step 4: Simplify right side
    2,512.02x = 3,266,252.66
  5. Step 5: Solve for x
    x = 3,266,252.66/2,512.02
  6. Step 6: Final answer
    x = 1,300.25

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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.