Home / 2,065.11-3,097.49-831.74

Finding the Fourth Proportional to 2,065.11, 3,097.49 and 831.74

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Solution

The fourth proportional to 2,065.11, 3,097.49 and 831.74 is: 1,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.11 : 3,097.49 = 831.74 : x
  2. Step 2: Convert to fraction form
    2,065.11/3,097.49 = 831.74/x
  3. Step 3: Cross multiply
    2,065.11x = 3,097.49 × 831.74
  4. Step 4: Simplify right side
    2,065.11x = 2,576,286.69
  5. Step 5: Solve for x
    x = 2,576,286.69/2,065.11
  6. Step 6: Final answer
    x = 1,247.53

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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.