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Finding the Fourth Proportional to 2,211.62, 3,052.02 and 1,216.91

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Solution

The fourth proportional to 2,211.62, 3,052.02 and 1,216.91 is: 1,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.62 : 3,052.02 = 1,216.91 : x
  2. Step 2: Convert to fraction form
    2,211.62/3,052.02 = 1,216.91/x
  3. Step 3: Cross multiply
    2,211.62x = 3,052.02 × 1,216.91
  4. Step 4: Simplify right side
    2,211.62x = 3,714,018.40
  5. Step 5: Solve for x
    x = 3,714,018.40/2,211.62
  6. Step 6: Final answer
    x = 1,679.32

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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.