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Finding the Fourth Proportional to 3,320.75, 4,982.01 and 1,655.37

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Solution

The fourth proportional to 3,320.75, 4,982.01 and 1,655.37 is: 2,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.75 : 4,982.01 = 1,655.37 : x
  2. Step 2: Convert to fraction form
    3,320.75/4,982.01 = 1,655.37/x
  3. Step 3: Cross multiply
    3,320.75x = 4,982.01 × 1,655.37
  4. Step 4: Simplify right side
    3,320.75x = 8,247,036.71
  5. Step 5: Solve for x
    x = 8,247,036.71/3,320.75
  6. Step 6: Final answer
    x = 2,483.49

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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.