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Finding the Fourth Proportional to 3,329.38, 4,593.12 and 2,002.30

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Solution

The fourth proportional to 3,329.38, 4,593.12 and 2,002.30 is: 2,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.38 : 4,593.12 = 2,002.30 : x
  2. Step 2: Convert to fraction form
    3,329.38/4,593.12 = 2,002.30/x
  3. Step 3: Cross multiply
    3,329.38x = 4,593.12 × 2,002.30
  4. Step 4: Simplify right side
    3,329.38x = 9,196,804.18
  5. Step 5: Solve for x
    x = 9,196,804.18/3,329.38
  6. Step 6: Final answer
    x = 2,762.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.