Home / 2,215.11-3,322.76-828.30

Finding the Fourth Proportional to 2,215.11, 3,322.76 and 828.30

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Solution

The fourth proportional to 2,215.11, 3,322.76 and 828.30 is: 1,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.11 : 3,322.76 = 828.30 : x
  2. Step 2: Convert to fraction form
    2,215.11/3,322.76 = 828.30/x
  3. Step 3: Cross multiply
    2,215.11x = 3,322.76 × 828.30
  4. Step 4: Simplify right side
    2,215.11x = 2,752,250.43
  5. Step 5: Solve for x
    x = 2,752,250.43/2,215.11
  6. Step 6: Final answer
    x = 1,242.49

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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.