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Finding the Fourth Proportional to 2,272.34, 3,407.46 and 711.86

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Solution

The fourth proportional to 2,272.34, 3,407.46 and 711.86 is: 1,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.34 : 3,407.46 = 711.86 : x
  2. Step 2: Convert to fraction form
    2,272.34/3,407.46 = 711.86/x
  3. Step 3: Cross multiply
    2,272.34x = 3,407.46 × 711.86
  4. Step 4: Simplify right side
    2,272.34x = 2,425,634.48
  5. Step 5: Solve for x
    x = 2,425,634.48/2,272.34
  6. Step 6: Final answer
    x = 1,067.46

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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.