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Finding the Fourth Proportional to 2,301.93, 3,452.94 and 570.57

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Solution

The fourth proportional to 2,301.93, 3,452.94 and 570.57 is: 855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.93 : 3,452.94 = 570.57 : x
  2. Step 2: Convert to fraction form
    2,301.93/3,452.94 = 570.57/x
  3. Step 3: Cross multiply
    2,301.93x = 3,452.94 × 570.57
  4. Step 4: Simplify right side
    2,301.93x = 1,970,143.98
  5. Step 5: Solve for x
    x = 1,970,143.98/2,301.93
  6. Step 6: Final answer
    x = 855.87

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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.