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Finding the Fourth Proportional to 2,916.81, 4,375.22 and 864.81

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Solution

The fourth proportional to 2,916.81, 4,375.22 and 864.81 is: 1,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.81 : 4,375.22 = 864.81 : x
  2. Step 2: Convert to fraction form
    2,916.81/4,375.22 = 864.81/x
  3. Step 3: Cross multiply
    2,916.81x = 4,375.22 × 864.81
  4. Step 4: Simplify right side
    2,916.81x = 3,783,744.95
  5. Step 5: Solve for x
    x = 3,783,744.95/2,916.81
  6. Step 6: Final answer
    x = 1,297.22

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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.