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Finding the Fourth Proportional to 2,824.13, 4,236.00 and 876.29

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Solution

The fourth proportional to 2,824.13, 4,236.00 and 876.29 is: 1,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.13 : 4,236.00 = 876.29 : x
  2. Step 2: Convert to fraction form
    2,824.13/4,236.00 = 876.29/x
  3. Step 3: Cross multiply
    2,824.13x = 4,236.00 × 876.29
  4. Step 4: Simplify right side
    2,824.13x = 3,711,939.97
  5. Step 5: Solve for x
    x = 3,711,939.97/2,824.13
  6. Step 6: Final answer
    x = 1,314.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.