Home / 1,421.24-1,961.06-831.76

Finding the Fourth Proportional to 1,421.24, 1,961.06 and 831.76

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Solution

The fourth proportional to 1,421.24, 1,961.06 and 831.76 is: 1,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.24 : 1,961.06 = 831.76 : x
  2. Step 2: Convert to fraction form
    1,421.24/1,961.06 = 831.76/x
  3. Step 3: Cross multiply
    1,421.24x = 1,961.06 × 831.76
  4. Step 4: Simplify right side
    1,421.24x = 1,631,131.27
  5. Step 5: Solve for x
    x = 1,631,131.27/1,421.24
  6. Step 6: Final answer
    x = 1,147.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.