Home / 2,064.08-3,094.77-831.80

Finding the Fourth Proportional to 2,064.08, 3,094.77 and 831.80

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Solution

The fourth proportional to 2,064.08, 3,094.77 and 831.80 is: 1,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.08 : 3,094.77 = 831.80 : x
  2. Step 2: Convert to fraction form
    2,064.08/3,094.77 = 831.80/x
  3. Step 3: Cross multiply
    2,064.08x = 3,094.77 × 831.80
  4. Step 4: Simplify right side
    2,064.08x = 2,574,229.69
  5. Step 5: Solve for x
    x = 2,574,229.69/2,064.08
  6. Step 6: Final answer
    x = 1,247.16

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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.