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Finding the Fourth Proportional to 2,482.22, 3,722.18 and 838.33

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Solution

The fourth proportional to 2,482.22, 3,722.18 and 838.33 is: 1,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.22 : 3,722.18 = 838.33 : x
  2. Step 2: Convert to fraction form
    2,482.22/3,722.18 = 838.33/x
  3. Step 3: Cross multiply
    2,482.22x = 3,722.18 × 838.33
  4. Step 4: Simplify right side
    2,482.22x = 3,120,401.66
  5. Step 5: Solve for x
    x = 3,120,401.66/2,482.22
  6. Step 6: Final answer
    x = 1,257.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.