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Finding the Fourth Proportional to 2,989.67, 4,484.50 and 798.28

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Solution

The fourth proportional to 2,989.67, 4,484.50 and 798.28 is: 1,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.67 : 4,484.50 = 798.28 : x
  2. Step 2: Convert to fraction form
    2,989.67/4,484.50 = 798.28/x
  3. Step 3: Cross multiply
    2,989.67x = 4,484.50 × 798.28
  4. Step 4: Simplify right side
    2,989.67x = 3,579,873.45
  5. Step 5: Solve for x
    x = 3,579,873.45/2,989.67
  6. Step 6: Final answer
    x = 1,197.42

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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.