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Finding the Fourth Proportional to 2,170.40, 2,994.91 and 1,238.90

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Solution

The fourth proportional to 2,170.40, 2,994.91 and 1,238.90 is: 1,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.40 : 2,994.91 = 1,238.90 : x
  2. Step 2: Convert to fraction form
    2,170.40/2,994.91 = 1,238.90/x
  3. Step 3: Cross multiply
    2,170.40x = 2,994.91 × 1,238.90
  4. Step 4: Simplify right side
    2,170.40x = 3,710,375.93
  5. Step 5: Solve for x
    x = 3,710,375.93/2,170.40
  6. Step 6: Final answer
    x = 1,709.54

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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.