Home / 2,130.08-3,194.04-831.92

Finding the Fourth Proportional to 2,130.08, 3,194.04 and 831.92

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Solution

The fourth proportional to 2,130.08, 3,194.04 and 831.92 is: 1,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.08 : 3,194.04 = 831.92 : x
  2. Step 2: Convert to fraction form
    2,130.08/3,194.04 = 831.92/x
  3. Step 3: Cross multiply
    2,130.08x = 3,194.04 × 831.92
  4. Step 4: Simplify right side
    2,130.08x = 2,657,185.76
  5. Step 5: Solve for x
    x = 2,657,185.76/2,130.08
  6. Step 6: Final answer
    x = 1,247.46

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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.