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Finding the Fourth Proportional to 3,332.10, 4,600.13 and 2,006.13

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Solution

The fourth proportional to 3,332.10, 4,600.13 and 2,006.13 is: 2,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.10 : 4,600.13 = 2,006.13 : x
  2. Step 2: Convert to fraction form
    3,332.10/4,600.13 = 2,006.13/x
  3. Step 3: Cross multiply
    3,332.10x = 4,600.13 × 2,006.13
  4. Step 4: Simplify right side
    3,332.10x = 9,228,458.80
  5. Step 5: Solve for x
    x = 9,228,458.80/3,332.10
  6. Step 6: Final answer
    x = 2,769.56

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