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Finding the Fourth Proportional to 2,666.44, 3,684.75 and 2,002.15

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Solution

The fourth proportional to 2,666.44, 3,684.75 and 2,002.15 is: 2,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.44 : 3,684.75 = 2,002.15 : x
  2. Step 2: Convert to fraction form
    2,666.44/3,684.75 = 2,002.15/x
  3. Step 3: Cross multiply
    2,666.44x = 3,684.75 × 2,002.15
  4. Step 4: Simplify right side
    2,666.44x = 7,377,422.21
  5. Step 5: Solve for x
    x = 7,377,422.21/2,666.44
  6. Step 6: Final answer
    x = 2,766.77

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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.