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Finding the Fourth Proportional to 2,019.39, 3,014.29 and 1,786.11

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Solution

The fourth proportional to 2,019.39, 3,014.29 and 1,786.11 is: 2,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.39 : 3,014.29 = 1,786.11 : x
  2. Step 2: Convert to fraction form
    2,019.39/3,014.29 = 1,786.11/x
  3. Step 3: Cross multiply
    2,019.39x = 3,014.29 × 1,786.11
  4. Step 4: Simplify right side
    2,019.39x = 5,383,849.05
  5. Step 5: Solve for x
    x = 5,383,849.05/2,019.39
  6. Step 6: Final answer
    x = 2,666.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.