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Finding the Fourth Proportional to 2,667.02, 3,678.82 and 1,919.79

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Solution

The fourth proportional to 2,667.02, 3,678.82 and 1,919.79 is: 2,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.02 : 3,678.82 = 1,919.79 : x
  2. Step 2: Convert to fraction form
    2,667.02/3,678.82 = 1,919.79/x
  3. Step 3: Cross multiply
    2,667.02x = 3,678.82 × 1,919.79
  4. Step 4: Simplify right side
    2,667.02x = 7,062,557.05
  5. Step 5: Solve for x
    x = 7,062,557.05/2,667.02
  6. Step 6: Final answer
    x = 2,648.11

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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.