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Finding the Fourth Proportional to 2,847.54, 4,272.41 and 998.86

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Solution

The fourth proportional to 2,847.54, 4,272.41 and 998.86 is: 1,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.54 : 4,272.41 = 998.86 : x
  2. Step 2: Convert to fraction form
    2,847.54/4,272.41 = 998.86/x
  3. Step 3: Cross multiply
    2,847.54x = 4,272.41 × 998.86
  4. Step 4: Simplify right side
    2,847.54x = 4,267,539.45
  5. Step 5: Solve for x
    x = 4,267,539.45/2,847.54
  6. Step 6: Final answer
    x = 1,498.68

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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.