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Finding the Fourth Proportional to 2,797.66, 3,859.32 and 1,678.06

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Solution

The fourth proportional to 2,797.66, 3,859.32 and 1,678.06 is: 2,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.66 : 3,859.32 = 1,678.06 : x
  2. Step 2: Convert to fraction form
    2,797.66/3,859.32 = 1,678.06/x
  3. Step 3: Cross multiply
    2,797.66x = 3,859.32 × 1,678.06
  4. Step 4: Simplify right side
    2,797.66x = 6,476,170.52
  5. Step 5: Solve for x
    x = 6,476,170.52/2,797.66
  6. Step 6: Final answer
    x = 2,314.85

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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.