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Finding the Fourth Proportional to 2,679.87, 4,019.32 and 948.09

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Solution

The fourth proportional to 2,679.87, 4,019.32 and 948.09 is: 1,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.87 : 4,019.32 = 948.09 : x
  2. Step 2: Convert to fraction form
    2,679.87/4,019.32 = 948.09/x
  3. Step 3: Cross multiply
    2,679.87x = 4,019.32 × 948.09
  4. Step 4: Simplify right side
    2,679.87x = 3,810,677.10
  5. Step 5: Solve for x
    x = 3,810,677.10/2,679.87
  6. Step 6: Final answer
    x = 1,421.96

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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.