Home / 2,272.96-3,409.29-812.15

Finding the Fourth Proportional to 2,272.96, 3,409.29 and 812.15

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Solution

The fourth proportional to 2,272.96, 3,409.29 and 812.15 is: 1,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.96 : 3,409.29 = 812.15 : x
  2. Step 2: Convert to fraction form
    2,272.96/3,409.29 = 812.15/x
  3. Step 3: Cross multiply
    2,272.96x = 3,409.29 × 812.15
  4. Step 4: Simplify right side
    2,272.96x = 2,768,860.20
  5. Step 5: Solve for x
    x = 2,768,860.20/2,272.96
  6. Step 6: Final answer
    x = 1,218.17

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1.5x scale

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.