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Finding the Fourth Proportional to 2,296.96, 3,169.86 and 1,302.34

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Solution

The fourth proportional to 2,296.96, 3,169.86 and 1,302.34 is: 1,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.96 : 3,169.86 = 1,302.34 : x
  2. Step 2: Convert to fraction form
    2,296.96/3,169.86 = 1,302.34/x
  3. Step 3: Cross multiply
    2,296.96x = 3,169.86 × 1,302.34
  4. Step 4: Simplify right side
    2,296.96x = 4,128,235.47
  5. Step 5: Solve for x
    x = 4,128,235.47/2,296.96
  6. Step 6: Final answer
    x = 1,797.26

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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.