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Finding the Fourth Proportional to 2,297, 3,169.86 and 1,301.96

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Solution

The fourth proportional to 2,297, 3,169.86 and 1,301.96 is: 1,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297 : 3,169.86 = 1,301.96 : x
  2. Step 2: Convert to fraction form
    2,297/3,169.86 = 1,301.96/x
  3. Step 3: Cross multiply
    2,297x = 3,169.86 × 1,301.96
  4. Step 4: Simplify right side
    2,297x = 4,127,030.93
  5. Step 5: Solve for x
    x = 4,127,030.93/2,297
  6. Step 6: Final answer
    x = 1,796.70

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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.