Home / 2,778.12-4,166.78-830.07

Finding the Fourth Proportional to 2,778.12, 4,166.78 and 830.07

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Solution

The fourth proportional to 2,778.12, 4,166.78 and 830.07 is: 1,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.12 : 4,166.78 = 830.07 : x
  2. Step 2: Convert to fraction form
    2,778.12/4,166.78 = 830.07/x
  3. Step 3: Cross multiply
    2,778.12x = 4,166.78 × 830.07
  4. Step 4: Simplify right side
    2,778.12x = 3,458,714.92
  5. Step 5: Solve for x
    x = 3,458,714.92/2,778.12
  6. Step 6: Final answer
    x = 1,244.98

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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.