Home / 2,284.70-3,427.07-823.86

Finding the Fourth Proportional to 2,284.70, 3,427.07 and 823.86

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Solution

The fourth proportional to 2,284.70, 3,427.07 and 823.86 is: 1,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.70 : 3,427.07 = 823.86 : x
  2. Step 2: Convert to fraction form
    2,284.70/3,427.07 = 823.86/x
  3. Step 3: Cross multiply
    2,284.70x = 3,427.07 × 823.86
  4. Step 4: Simplify right side
    2,284.70x = 2,823,421.77
  5. Step 5: Solve for x
    x = 2,823,421.77/2,284.70
  6. Step 6: Final answer
    x = 1,235.80

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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.