Home / 2,285.30-3,427.55-824.24

Finding the Fourth Proportional to 2,285.30, 3,427.55 and 824.24

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Solution

The fourth proportional to 2,285.30, 3,427.55 and 824.24 is: 1,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.30 : 3,427.55 = 824.24 : x
  2. Step 2: Convert to fraction form
    2,285.30/3,427.55 = 824.24/x
  3. Step 3: Cross multiply
    2,285.30x = 3,427.55 × 824.24
  4. Step 4: Simplify right side
    2,285.30x = 2,825,106.67
  5. Step 5: Solve for x
    x = 2,825,106.67/2,285.30
  6. Step 6: Final answer
    x = 1,236.21

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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.