Home / 2,272.77-3,409.02-811.85

Finding the Fourth Proportional to 2,272.77, 3,409.02 and 811.85

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Solution

The fourth proportional to 2,272.77, 3,409.02 and 811.85 is: 1,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.77 : 3,409.02 = 811.85 : x
  2. Step 2: Convert to fraction form
    2,272.77/3,409.02 = 811.85/x
  3. Step 3: Cross multiply
    2,272.77x = 3,409.02 × 811.85
  4. Step 4: Simplify right side
    2,272.77x = 2,767,595.84
  5. Step 5: Solve for x
    x = 2,767,595.84/2,272.77
  6. Step 6: Final answer
    x = 1,217.72

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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.