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Finding the Fourth Proportional to 2,817.86, 4,227.03 and 1,039.41

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Solution

The fourth proportional to 2,817.86, 4,227.03 and 1,039.41 is: 1,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.86 : 4,227.03 = 1,039.41 : x
  2. Step 2: Convert to fraction form
    2,817.86/4,227.03 = 1,039.41/x
  3. Step 3: Cross multiply
    2,817.86x = 4,227.03 × 1,039.41
  4. Step 4: Simplify right side
    2,817.86x = 4,393,617.25
  5. Step 5: Solve for x
    x = 4,393,617.25/2,817.86
  6. Step 6: Final answer
    x = 1,559.20

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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.