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Finding the Fourth Proportional to 2,989.65, 4,484.12 and 798.54

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Solution

The fourth proportional to 2,989.65, 4,484.12 and 798.54 is: 1,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.65 : 4,484.12 = 798.54 : x
  2. Step 2: Convert to fraction form
    2,989.65/4,484.12 = 798.54/x
  3. Step 3: Cross multiply
    2,989.65x = 4,484.12 × 798.54
  4. Step 4: Simplify right side
    2,989.65x = 3,580,745.19
  5. Step 5: Solve for x
    x = 3,580,745.19/2,989.65
  6. Step 6: Final answer
    x = 1,197.71

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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.