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Finding the Fourth Proportional to 2,517.81, 3,776.21 and 874.43

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Solution

The fourth proportional to 2,517.81, 3,776.21 and 874.43 is: 1,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.81 : 3,776.21 = 874.43 : x
  2. Step 2: Convert to fraction form
    2,517.81/3,776.21 = 874.43/x
  3. Step 3: Cross multiply
    2,517.81x = 3,776.21 × 874.43
  4. Step 4: Simplify right side
    2,517.81x = 3,302,031.31
  5. Step 5: Solve for x
    x = 3,302,031.31/2,517.81
  6. Step 6: Final answer
    x = 1,311.47

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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.