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Finding the Fourth Proportional to 2,297.76, 3,169.79 and 1,412.02

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Solution

The fourth proportional to 2,297.76, 3,169.79 and 1,412.02 is: 1,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.76 : 3,169.79 = 1,412.02 : x
  2. Step 2: Convert to fraction form
    2,297.76/3,169.79 = 1,412.02/x
  3. Step 3: Cross multiply
    2,297.76x = 3,169.79 × 1,412.02
  4. Step 4: Simplify right side
    2,297.76x = 4,475,806.88
  5. Step 5: Solve for x
    x = 4,475,806.88/2,297.76
  6. Step 6: Final answer
    x = 1,947.90

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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.