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Finding the Fourth Proportional to 2,027.56, 3,041.70 and 711.40

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Solution

The fourth proportional to 2,027.56, 3,041.70 and 711.40 is: 1,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.56 : 3,041.70 = 711.40 : x
  2. Step 2: Convert to fraction form
    2,027.56/3,041.70 = 711.40/x
  3. Step 3: Cross multiply
    2,027.56x = 3,041.70 × 711.40
  4. Step 4: Simplify right side
    2,027.56x = 2,163,865.38
  5. Step 5: Solve for x
    x = 2,163,865.38/2,027.56
  6. Step 6: Final answer
    x = 1,067.23

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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.