Home / 2,284.86-3,427.68-824.16

Finding the Fourth Proportional to 2,284.86, 3,427.68 and 824.16

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Solution

The fourth proportional to 2,284.86, 3,427.68 and 824.16 is: 1,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.86 : 3,427.68 = 824.16 : x
  2. Step 2: Convert to fraction form
    2,284.86/3,427.68 = 824.16/x
  3. Step 3: Cross multiply
    2,284.86x = 3,427.68 × 824.16
  4. Step 4: Simplify right side
    2,284.86x = 2,824,956.75
  5. Step 5: Solve for x
    x = 2,824,956.75/2,284.86
  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.