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Finding the Fourth Proportional to 2,722.42, 4,083.03 and 873.18

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Solution

The fourth proportional to 2,722.42, 4,083.03 and 873.18 is: 1,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.42 : 4,083.03 = 873.18 : x
  2. Step 2: Convert to fraction form
    2,722.42/4,083.03 = 873.18/x
  3. Step 3: Cross multiply
    2,722.42x = 4,083.03 × 873.18
  4. Step 4: Simplify right side
    2,722.42x = 3,565,220.14
  5. Step 5: Solve for x
    x = 3,565,220.14/2,722.42
  6. Step 6: Final answer
    x = 1,309.58

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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.