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Finding the Fourth Proportional to 2,909.99, 4,367.72 and 2,264.83

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Solution

The fourth proportional to 2,909.99, 4,367.72 and 2,264.83 is: 3,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.99 : 4,367.72 = 2,264.83 : x
  2. Step 2: Convert to fraction form
    2,909.99/4,367.72 = 2,264.83/x
  3. Step 3: Cross multiply
    2,909.99x = 4,367.72 × 2,264.83
  4. Step 4: Simplify right side
    2,909.99x = 9,892,138.03
  5. Step 5: Solve for x
    x = 9,892,138.03/2,909.99
  6. Step 6: Final answer
    x = 3,399.37

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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.