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Finding the Fourth Proportional to 2,211.98, 3,052.53 and 1,267.74

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Solution

The fourth proportional to 2,211.98, 3,052.53 and 1,267.74 is: 1,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.98 : 3,052.53 = 1,267.74 : x
  2. Step 2: Convert to fraction form
    2,211.98/3,052.53 = 1,267.74/x
  3. Step 3: Cross multiply
    2,211.98x = 3,052.53 × 1,267.74
  4. Step 4: Simplify right side
    2,211.98x = 3,869,814.38
  5. Step 5: Solve for x
    x = 3,869,814.38/2,211.98
  6. Step 6: Final answer
    x = 1,749.48

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Why These Related Problems?

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