Home / 2,049.78-2,828.66-1,165.56

Finding the Fourth Proportional to 2,049.78, 2,828.66 and 1,165.56

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Solution

The fourth proportional to 2,049.78, 2,828.66 and 1,165.56 is: 1,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.78 : 2,828.66 = 1,165.56 : x
  2. Step 2: Convert to fraction form
    2,049.78/2,828.66 = 1,165.56/x
  3. Step 3: Cross multiply
    2,049.78x = 2,828.66 × 1,165.56
  4. Step 4: Simplify right side
    2,049.78x = 3,296,971.49
  5. Step 5: Solve for x
    x = 3,296,971.49/2,049.78
  6. Step 6: Final answer
    x = 1,608.45

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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.