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Finding the Fourth Proportional to 2,296.42, 3,169.00 and 1,301.86

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Solution

The fourth proportional to 2,296.42, 3,169.00 and 1,301.86 is: 1,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.42 : 3,169.00 = 1,301.86 : x
  2. Step 2: Convert to fraction form
    2,296.42/3,169.00 = 1,301.86/x
  3. Step 3: Cross multiply
    2,296.42x = 3,169.00 × 1,301.86
  4. Step 4: Simplify right side
    2,296.42x = 4,125,599.93
  5. Step 5: Solve for x
    x = 4,125,599.93/2,296.42
  6. Step 6: Final answer
    x = 1,796.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.