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Finding the Fourth Proportional to 2,525.69, 3,789.86 and 1,909.22

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Solution

The fourth proportional to 2,525.69, 3,789.86 and 1,909.22 is: 2,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.69 : 3,789.86 = 1,909.22 : x
  2. Step 2: Convert to fraction form
    2,525.69/3,789.86 = 1,909.22/x
  3. Step 3: Cross multiply
    2,525.69x = 3,789.86 × 1,909.22
  4. Step 4: Simplify right side
    2,525.69x = 7,235,648.01
  5. Step 5: Solve for x
    x = 7,235,648.01/2,525.69
  6. Step 6: Final answer
    x = 2,864.82

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