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Finding the Fourth Proportional to 2,207.78, 3,309.37 and 891.53

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Solution

The fourth proportional to 2,207.78, 3,309.37 and 891.53 is: 1,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.78 : 3,309.37 = 891.53 : x
  2. Step 2: Convert to fraction form
    2,207.78/3,309.37 = 891.53/x
  3. Step 3: Cross multiply
    2,207.78x = 3,309.37 × 891.53
  4. Step 4: Simplify right side
    2,207.78x = 2,950,402.64
  5. Step 5: Solve for x
    x = 2,950,402.64/2,207.78
  6. Step 6: Final answer
    x = 1,336.37

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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.