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Finding the Fourth Proportional to 4,700.92, 7,050.78 and 1,778.84

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Solution

The fourth proportional to 4,700.92, 7,050.78 and 1,778.84 is: 2,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.92 : 7,050.78 = 1,778.84 : x
  2. Step 2: Convert to fraction form
    4,700.92/7,050.78 = 1,778.84/x
  3. Step 3: Cross multiply
    4,700.92x = 7,050.78 × 1,778.84
  4. Step 4: Simplify right side
    4,700.92x = 12,542,209.50
  5. Step 5: Solve for x
    x = 12,542,209.50/4,700.92
  6. Step 6: Final answer
    x = 2,668.03

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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.