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Finding the Fourth Proportional to 2,019.38, 2,780.06 and 1,757.34

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Solution

The fourth proportional to 2,019.38, 2,780.06 and 1,757.34 is: 2,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.38 : 2,780.06 = 1,757.34 : x
  2. Step 2: Convert to fraction form
    2,019.38/2,780.06 = 1,757.34/x
  3. Step 3: Cross multiply
    2,019.38x = 2,780.06 × 1,757.34
  4. Step 4: Simplify right side
    2,019.38x = 4,885,501.85
  5. Step 5: Solve for x
    x = 4,885,501.85/2,019.38
  6. Step 6: Final answer
    x = 2,419.31

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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.