Home / 1,530.30-2,111.82-831.68

Finding the Fourth Proportional to 1,530.30, 2,111.82 and 831.68

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Solution

The fourth proportional to 1,530.30, 2,111.82 and 831.68 is: 1,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.30 : 2,111.82 = 831.68 : x
  2. Step 2: Convert to fraction form
    1,530.30/2,111.82 = 831.68/x
  3. Step 3: Cross multiply
    1,530.30x = 2,111.82 × 831.68
  4. Step 4: Simplify right side
    1,530.30x = 1,756,347.90
  5. Step 5: Solve for x
    x = 1,756,347.90/1,530.30
  6. Step 6: Final answer
    x = 1,147.71

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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.