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Finding the Fourth Proportional to 2,510.88, 3,765.48 and 867.38

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Solution

The fourth proportional to 2,510.88, 3,765.48 and 867.38 is: 1,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.88 : 3,765.48 = 867.38 : x
  2. Step 2: Convert to fraction form
    2,510.88/3,765.48 = 867.38/x
  3. Step 3: Cross multiply
    2,510.88x = 3,765.48 × 867.38
  4. Step 4: Simplify right side
    2,510.88x = 3,266,102.04
  5. Step 5: Solve for x
    x = 3,266,102.04/2,510.88
  6. Step 6: Final answer
    x = 1,300.78

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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.