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Finding the Fourth Proportional to 2,984.80, 4,481.04 and 2,337.76

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Solution

The fourth proportional to 2,984.80, 4,481.04 and 2,337.76 is: 3,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.80 : 4,481.04 = 2,337.76 : x
  2. Step 2: Convert to fraction form
    2,984.80/4,481.04 = 2,337.76/x
  3. Step 3: Cross multiply
    2,984.80x = 4,481.04 × 2,337.76
  4. Step 4: Simplify right side
    2,984.80x = 10,475,596.07
  5. Step 5: Solve for x
    x = 10,475,596.07/2,984.80
  6. Step 6: Final answer
    x = 3,509.65

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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.