Home / 2,089.10-2,883.38-1,204.78

Finding the Fourth Proportional to 2,089.10, 2,883.38 and 1,204.78

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Solution

The fourth proportional to 2,089.10, 2,883.38 and 1,204.78 is: 1,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.10 : 2,883.38 = 1,204.78 : x
  2. Step 2: Convert to fraction form
    2,089.10/2,883.38 = 1,204.78/x
  3. Step 3: Cross multiply
    2,089.10x = 2,883.38 × 1,204.78
  4. Step 4: Simplify right side
    2,089.10x = 3,473,850.70
  5. Step 5: Solve for x
    x = 3,473,850.70/2,089.10
  6. Step 6: Final answer
    x = 1,662.85

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Why These Related Problems?

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