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Finding the Fourth Proportional to 2,502, 3,452.76 and 1,767.28

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Solution

The fourth proportional to 2,502, 3,452.76 and 1,767.28 is: 2,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502 : 3,452.76 = 1,767.28 : x
  2. Step 2: Convert to fraction form
    2,502/3,452.76 = 1,767.28/x
  3. Step 3: Cross multiply
    2,502x = 3,452.76 × 1,767.28
  4. Step 4: Simplify right side
    2,502x = 6,101,993.69
  5. Step 5: Solve for x
    x = 6,101,993.69/2,502
  6. Step 6: Final answer
    x = 2,438.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.