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Finding the Fourth Proportional to 2,984.14, 4,475.87 and 793.04

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Solution

The fourth proportional to 2,984.14, 4,475.87 and 793.04 is: 1,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.14 : 4,475.87 = 793.04 : x
  2. Step 2: Convert to fraction form
    2,984.14/4,475.87 = 793.04/x
  3. Step 3: Cross multiply
    2,984.14x = 4,475.87 × 793.04
  4. Step 4: Simplify right side
    2,984.14x = 3,549,545.93
  5. Step 5: Solve for x
    x = 3,549,545.93/2,984.14
  6. Step 6: Final answer
    x = 1,189.47

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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.