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Finding the Fourth Proportional to 2,446.61, 3,661.40 and 2,002.73

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Solution

The fourth proportional to 2,446.61, 3,661.40 and 2,002.73 is: 2,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.61 : 3,661.40 = 2,002.73 : x
  2. Step 2: Convert to fraction form
    2,446.61/3,661.40 = 2,002.73/x
  3. Step 3: Cross multiply
    2,446.61x = 3,661.40 × 2,002.73
  4. Step 4: Simplify right side
    2,446.61x = 7,332,782.32
  5. Step 5: Solve for x
    x = 7,332,782.32/2,446.61
  6. Step 6: Final answer
    x = 2,997.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.