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Finding the Fourth Proportional to 2,169.76, 2,994.44 and 1,238.24

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Solution

The fourth proportional to 2,169.76, 2,994.44 and 1,238.24 is: 1,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.76 : 2,994.44 = 1,238.24 : x
  2. Step 2: Convert to fraction form
    2,169.76/2,994.44 = 1,238.24/x
  3. Step 3: Cross multiply
    2,169.76x = 2,994.44 × 1,238.24
  4. Step 4: Simplify right side
    2,169.76x = 3,707,835.39
  5. Step 5: Solve for x
    x = 3,707,835.39/2,169.76
  6. Step 6: Final answer
    x = 1,708.87

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1.5x scale

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.