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Finding the Fourth Proportional to 2,291.80, 3,162.66 and 1,297

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Solution

The fourth proportional to 2,291.80, 3,162.66 and 1,297 is: 1,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.80 : 3,162.66 = 1,297 : x
  2. Step 2: Convert to fraction form
    2,291.80/3,162.66 = 1,297/x
  3. Step 3: Cross multiply
    2,291.80x = 3,162.66 × 1,297
  4. Step 4: Simplify right side
    2,291.80x = 4,101,970.02
  5. Step 5: Solve for x
    x = 4,101,970.02/2,291.80
  6. Step 6: Final answer
    x = 1,789.85

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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.