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Finding the Fourth Proportional to 3,323.68, 4,982.87 and 1,567.76

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Solution

The fourth proportional to 3,323.68, 4,982.87 and 1,567.76 is: 2,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.68 : 4,982.87 = 1,567.76 : x
  2. Step 2: Convert to fraction form
    3,323.68/4,982.87 = 1,567.76/x
  3. Step 3: Cross multiply
    3,323.68x = 4,982.87 × 1,567.76
  4. Step 4: Simplify right side
    3,323.68x = 7,811,914.46
  5. Step 5: Solve for x
    x = 7,811,914.46/3,323.68
  6. Step 6: Final answer
    x = 2,350.38

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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.