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Finding the Fourth Proportional to 2,027.69, 3,041.80 and 711.30

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Solution

The fourth proportional to 2,027.69, 3,041.80 and 711.30 is: 1,067.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.69 : 3,041.80 = 711.30 : x
  2. Step 2: Convert to fraction form
    2,027.69/3,041.80 = 711.30/x
  3. Step 3: Cross multiply
    2,027.69x = 3,041.80 × 711.30
  4. Step 4: Simplify right side
    2,027.69x = 2,163,632.34
  5. Step 5: Solve for x
    x = 2,163,632.34/2,027.69
  6. Step 6: Final answer
    x = 1,067.04

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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.