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Finding the Fourth Proportional to 2,661.84, 3,672.90 and 2,446.80

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Solution

The fourth proportional to 2,661.84, 3,672.90 and 2,446.80 is: 3,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.84 : 3,672.90 = 2,446.80 : x
  2. Step 2: Convert to fraction form
    2,661.84/3,672.90 = 2,446.80/x
  3. Step 3: Cross multiply
    2,661.84x = 3,672.90 × 2,446.80
  4. Step 4: Simplify right side
    2,661.84x = 8,986,851.72
  5. Step 5: Solve for x
    x = 8,986,851.72/2,661.84
  6. Step 6: Final answer
    x = 3,376.18

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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.