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Finding the Fourth Proportional to 2,667.62, 3,974.75 and 2,376.63

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Solution

The fourth proportional to 2,667.62, 3,974.75 and 2,376.63 is: 3,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.62 : 3,974.75 = 2,376.63 : x
  2. Step 2: Convert to fraction form
    2,667.62/3,974.75 = 2,376.63/x
  3. Step 3: Cross multiply
    2,667.62x = 3,974.75 × 2,376.63
  4. Step 4: Simplify right side
    2,667.62x = 9,446,498.21
  5. Step 5: Solve for x
    x = 9,446,498.21/2,667.62
  6. Step 6: Final answer
    x = 3,541.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.