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Finding the Fourth Proportional to 2,667.46, 4,007 and 2,579.98

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Solution

The fourth proportional to 2,667.46, 4,007 and 2,579.98 is: 3,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.46 : 4,007 = 2,579.98 : x
  2. Step 2: Convert to fraction form
    2,667.46/4,007 = 2,579.98/x
  3. Step 3: Cross multiply
    2,667.46x = 4,007 × 2,579.98
  4. Step 4: Simplify right side
    2,667.46x = 10,337,979.86
  5. Step 5: Solve for x
    x = 10,337,979.86/2,667.46
  6. Step 6: Final answer
    x = 3,875.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.