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Finding the Fourth Proportional to 2,169.88, 2,994.54 and 1,238.68

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Solution

The fourth proportional to 2,169.88, 2,994.54 and 1,238.68 is: 1,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.88 : 2,994.54 = 1,238.68 : x
  2. Step 2: Convert to fraction form
    2,169.88/2,994.54 = 1,238.68/x
  3. Step 3: Cross multiply
    2,169.88x = 2,994.54 × 1,238.68
  4. Step 4: Simplify right side
    2,169.88x = 3,709,276.81
  5. Step 5: Solve for x
    x = 3,709,276.81/2,169.88
  6. Step 6: Final answer
    x = 1,709.44

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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.