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Finding the Fourth Proportional to 2,665.80, 3,677.67 and 1,670.40

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Solution

The fourth proportional to 2,665.80, 3,677.67 and 1,670.40 is: 2,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.80 : 3,677.67 = 1,670.40 : x
  2. Step 2: Convert to fraction form
    2,665.80/3,677.67 = 1,670.40/x
  3. Step 3: Cross multiply
    2,665.80x = 3,677.67 × 1,670.40
  4. Step 4: Simplify right side
    2,665.80x = 6,143,179.97
  5. Step 5: Solve for x
    x = 6,143,179.97/2,665.80
  6. Step 6: Final answer
    x = 2,304.44

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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.