Home / 2,285.08-3,427.65-824.24

Finding the Fourth Proportional to 2,285.08, 3,427.65 and 824.24

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Solution

The fourth proportional to 2,285.08, 3,427.65 and 824.24 is: 1,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.08 : 3,427.65 = 824.24 : x
  2. Step 2: Convert to fraction form
    2,285.08/3,427.65 = 824.24/x
  3. Step 3: Cross multiply
    2,285.08x = 3,427.65 × 824.24
  4. Step 4: Simplify right side
    2,285.08x = 2,825,214.81
  5. Step 5: Solve for x
    x = 2,825,214.81/2,285.08
  6. Step 6: Final answer
    x = 1,236.38

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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.