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Finding the Fourth Proportional to 2,108.77, 2,909.61 and 1,224.42

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Solution

The fourth proportional to 2,108.77, 2,909.61 and 1,224.42 is: 1,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.77 : 2,909.61 = 1,224.42 : x
  2. Step 2: Convert to fraction form
    2,108.77/2,909.61 = 1,224.42/x
  3. Step 3: Cross multiply
    2,108.77x = 2,909.61 × 1,224.42
  4. Step 4: Simplify right side
    2,108.77x = 3,562,584.68
  5. Step 5: Solve for x
    x = 3,562,584.68/2,108.77
  6. Step 6: Final answer
    x = 1,689.41

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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.