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Finding the Fourth Proportional to 2,794.13, 3,857.69 and 2,494.86

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Solution

The fourth proportional to 2,794.13, 3,857.69 and 2,494.86 is: 3,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.13 : 3,857.69 = 2,494.86 : x
  2. Step 2: Convert to fraction form
    2,794.13/3,857.69 = 2,494.86/x
  3. Step 3: Cross multiply
    2,794.13x = 3,857.69 × 2,494.86
  4. Step 4: Simplify right side
    2,794.13x = 9,624,396.47
  5. Step 5: Solve for x
    x = 9,624,396.47/2,794.13
  6. Step 6: Final answer
    x = 3,444.51

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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.