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Finding the Fourth Proportional to 2,850.81, 4,276.34 and 876.29

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Solution

The fourth proportional to 2,850.81, 4,276.34 and 876.29 is: 1,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.81 : 4,276.34 = 876.29 : x
  2. Step 2: Convert to fraction form
    2,850.81/4,276.34 = 876.29/x
  3. Step 3: Cross multiply
    2,850.81x = 4,276.34 × 876.29
  4. Step 4: Simplify right side
    2,850.81x = 3,747,288.22
  5. Step 5: Solve for x
    x = 3,747,288.22/2,850.81
  6. Step 6: Final answer
    x = 1,314.46

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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.