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Finding the Fourth Proportional to 2,211.84, 3,052.17 and 1,267.62

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Solution

The fourth proportional to 2,211.84, 3,052.17 and 1,267.62 is: 1,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.84 : 3,052.17 = 1,267.62 : x
  2. Step 2: Convert to fraction form
    2,211.84/3,052.17 = 1,267.62/x
  3. Step 3: Cross multiply
    2,211.84x = 3,052.17 × 1,267.62
  4. Step 4: Simplify right side
    2,211.84x = 3,868,991.74
  5. Step 5: Solve for x
    x = 3,868,991.74/2,211.84
  6. Step 6: Final answer
    x = 1,749.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.