Home / 2,089.14-3,133.17-1,049.78

Finding the Fourth Proportional to 2,089.14, 3,133.17 and 1,049.78

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Solution

The fourth proportional to 2,089.14, 3,133.17 and 1,049.78 is: 1,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.14 : 3,133.17 = 1,049.78 : x
  2. Step 2: Convert to fraction form
    2,089.14/3,133.17 = 1,049.78/x
  3. Step 3: Cross multiply
    2,089.14x = 3,133.17 × 1,049.78
  4. Step 4: Simplify right side
    2,089.14x = 3,289,123.54
  5. Step 5: Solve for x
    x = 3,289,123.54/2,089.14
  6. Step 6: Final answer
    x = 1,574.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.