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Finding the Fourth Proportional to 2,301.28, 3,451.92 and 569.91

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Solution

The fourth proportional to 2,301.28, 3,451.92 and 569.91 is: 854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.28 : 3,451.92 = 569.91 : x
  2. Step 2: Convert to fraction form
    2,301.28/3,451.92 = 569.91/x
  3. Step 3: Cross multiply
    2,301.28x = 3,451.92 × 569.91
  4. Step 4: Simplify right side
    2,301.28x = 1,967,272.92
  5. Step 5: Solve for x
    x = 1,967,272.92/2,301.28
  6. Step 6: Final answer
    x = 854.86

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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.