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Finding the Fourth Proportional to 2,411.27, 3,327.50 and 1,363.31

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Solution

The fourth proportional to 2,411.27, 3,327.50 and 1,363.31 is: 1,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.27 : 3,327.50 = 1,363.31 : x
  2. Step 2: Convert to fraction form
    2,411.27/3,327.50 = 1,363.31/x
  3. Step 3: Cross multiply
    2,411.27x = 3,327.50 × 1,363.31
  4. Step 4: Simplify right side
    2,411.27x = 4,536,400.80
  5. Step 5: Solve for x
    x = 4,536,400.80/2,411.27
  6. Step 6: Final answer
    x = 1,881.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.