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Finding the Fourth Proportional to 2,797.48, 3,859.23 and 2,238.74

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Solution

The fourth proportional to 2,797.48, 3,859.23 and 2,238.74 is: 3,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.48 : 3,859.23 = 2,238.74 : x
  2. Step 2: Convert to fraction form
    2,797.48/3,859.23 = 2,238.74/x
  3. Step 3: Cross multiply
    2,797.48x = 3,859.23 × 2,238.74
  4. Step 4: Simplify right side
    2,797.48x = 8,639,782.08
  5. Step 5: Solve for x
    x = 8,639,782.08/2,797.48
  6. Step 6: Final answer
    x = 3,088.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.