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Finding the Fourth Proportional to 3,086.84, 4,259.84 and 1,760.49

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Solution

The fourth proportional to 3,086.84, 4,259.84 and 1,760.49 is: 2,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.84 : 4,259.84 = 1,760.49 : x
  2. Step 2: Convert to fraction form
    3,086.84/4,259.84 = 1,760.49/x
  3. Step 3: Cross multiply
    3,086.84x = 4,259.84 × 1,760.49
  4. Step 4: Simplify right side
    3,086.84x = 7,499,396.92
  5. Step 5: Solve for x
    x = 7,499,396.92/3,086.84
  6. Step 6: Final answer
    x = 2,429.48

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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.