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Finding the Fourth Proportional to 2,266.22, 3,398.50 and 1,780.22

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Solution

The fourth proportional to 2,266.22, 3,398.50 and 1,780.22 is: 2,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.22 : 3,398.50 = 1,780.22 : x
  2. Step 2: Convert to fraction form
    2,266.22/3,398.50 = 1,780.22/x
  3. Step 3: Cross multiply
    2,266.22x = 3,398.50 × 1,780.22
  4. Step 4: Simplify right side
    2,266.22x = 6,050,077.67
  5. Step 5: Solve for x
    x = 6,050,077.67/2,266.22
  6. Step 6: Final answer
    x = 2,669.68

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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.