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Finding the Fourth Proportional to 2,017.79, 3,027.06 and 701.49

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Solution

The fourth proportional to 2,017.79, 3,027.06 and 701.49 is: 1,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.79 : 3,027.06 = 701.49 : x
  2. Step 2: Convert to fraction form
    2,017.79/3,027.06 = 701.49/x
  3. Step 3: Cross multiply
    2,017.79x = 3,027.06 × 701.49
  4. Step 4: Simplify right side
    2,017.79x = 2,123,452.32
  5. Step 5: Solve for x
    x = 2,123,452.32/2,017.79
  6. Step 6: Final answer
    x = 1,052.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.