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Finding the Fourth Proportional to 2,876.83, 4,315.25 and 1,233.25

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Solution

The fourth proportional to 2,876.83, 4,315.25 and 1,233.25 is: 1,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.83 : 4,315.25 = 1,233.25 : x
  2. Step 2: Convert to fraction form
    2,876.83/4,315.25 = 1,233.25/x
  3. Step 3: Cross multiply
    2,876.83x = 4,315.25 × 1,233.25
  4. Step 4: Simplify right side
    2,876.83x = 5,321,782.06
  5. Step 5: Solve for x
    x = 5,321,782.06/2,876.83
  6. Step 6: Final answer
    x = 1,849.88

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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.