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Finding the Fourth Proportional to 2,989.98, 4,484.96 and 798.88

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Solution

The fourth proportional to 2,989.98, 4,484.96 and 798.88 is: 1,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.98 : 4,484.96 = 798.88 : x
  2. Step 2: Convert to fraction form
    2,989.98/4,484.96 = 798.88/x
  3. Step 3: Cross multiply
    2,989.98x = 4,484.96 × 798.88
  4. Step 4: Simplify right side
    2,989.98x = 3,582,944.84
  5. Step 5: Solve for x
    x = 3,582,944.84/2,989.98
  6. Step 6: Final answer
    x = 1,198.32

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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.