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Finding the Fourth Proportional to 2,722.22, 4,083.35 and 873.33

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Solution

The fourth proportional to 2,722.22, 4,083.35 and 873.33 is: 1,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.22 : 4,083.35 = 873.33 : x
  2. Step 2: Convert to fraction form
    2,722.22/4,083.35 = 873.33/x
  3. Step 3: Cross multiply
    2,722.22x = 4,083.35 × 873.33
  4. Step 4: Simplify right side
    2,722.22x = 3,566,117.90
  5. Step 5: Solve for x
    x = 3,566,117.90/2,722.22
  6. Step 6: Final answer
    x = 1,310.01

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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.