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Finding the Fourth Proportional to 2,209.88, 3,314.82 and 1,343

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Solution

The fourth proportional to 2,209.88, 3,314.82 and 1,343 is: 2,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.88 : 3,314.82 = 1,343 : x
  2. Step 2: Convert to fraction form
    2,209.88/3,314.82 = 1,343/x
  3. Step 3: Cross multiply
    2,209.88x = 3,314.82 × 1,343
  4. Step 4: Simplify right side
    2,209.88x = 4,451,803.26
  5. Step 5: Solve for x
    x = 4,451,803.26/2,209.88
  6. Step 6: Final answer
    x = 2,014.50

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Why These Related Problems?

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