Home / 2,130.32-3,197.10-831.90

Finding the Fourth Proportional to 2,130.32, 3,197.10 and 831.90

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Solution

The fourth proportional to 2,130.32, 3,197.10 and 831.90 is: 1,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.32 : 3,197.10 = 831.90 : x
  2. Step 2: Convert to fraction form
    2,130.32/3,197.10 = 831.90/x
  3. Step 3: Cross multiply
    2,130.32x = 3,197.10 × 831.90
  4. Step 4: Simplify right side
    2,130.32x = 2,659,667.49
  5. Step 5: Solve for x
    x = 2,659,667.49/2,130.32
  6. Step 6: Final answer
    x = 1,248.48

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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.