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Finding the Fourth Proportional to 3,321.55, 4,980.02 and 1,471.66

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Solution

The fourth proportional to 3,321.55, 4,980.02 and 1,471.66 is: 2,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.55 : 4,980.02 = 1,471.66 : x
  2. Step 2: Convert to fraction form
    3,321.55/4,980.02 = 1,471.66/x
  3. Step 3: Cross multiply
    3,321.55x = 4,980.02 × 1,471.66
  4. Step 4: Simplify right side
    3,321.55x = 7,328,871.33
  5. Step 5: Solve for x
    x = 7,328,871.33/3,321.55
  6. Step 6: Final answer
    x = 2,206.46

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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.