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Finding the Fourth Proportional to 2,279.84, 3,420.66 and 982.22

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Solution

The fourth proportional to 2,279.84, 3,420.66 and 982.22 is: 1,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.84 : 3,420.66 = 982.22 : x
  2. Step 2: Convert to fraction form
    2,279.84/3,420.66 = 982.22/x
  3. Step 3: Cross multiply
    2,279.84x = 3,420.66 × 982.22
  4. Step 4: Simplify right side
    2,279.84x = 3,359,823.56
  5. Step 5: Solve for x
    x = 3,359,823.56/2,279.84
  6. Step 6: Final answer
    x = 1,473.71

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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.