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Finding the Fourth Proportional to 2,778.94, 4,167.19 and 830.69

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Solution

The fourth proportional to 2,778.94, 4,167.19 and 830.69 is: 1,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.94 : 4,167.19 = 830.69 : x
  2. Step 2: Convert to fraction form
    2,778.94/4,167.19 = 830.69/x
  3. Step 3: Cross multiply
    2,778.94x = 4,167.19 × 830.69
  4. Step 4: Simplify right side
    2,778.94x = 3,461,620.15
  5. Step 5: Solve for x
    x = 3,461,620.15/2,778.94
  6. Step 6: Final answer
    x = 1,245.66

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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.