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Finding the Fourth Proportional to 2,108.80, 2,908.93 and 1,224.49

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Solution

The fourth proportional to 2,108.80, 2,908.93 and 1,224.49 is: 1,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.80 : 2,908.93 = 1,224.49 : x
  2. Step 2: Convert to fraction form
    2,108.80/2,908.93 = 1,224.49/x
  3. Step 3: Cross multiply
    2,108.80x = 2,908.93 × 1,224.49
  4. Step 4: Simplify right side
    2,108.80x = 3,561,955.70
  5. Step 5: Solve for x
    x = 3,561,955.70/2,108.80
  6. Step 6: Final answer
    x = 1,689.09

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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.