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Finding the Fourth Proportional to 2,679.18, 4,019.31 and 947.94

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Solution

The fourth proportional to 2,679.18, 4,019.31 and 947.94 is: 1,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.18 : 4,019.31 = 947.94 : x
  2. Step 2: Convert to fraction form
    2,679.18/4,019.31 = 947.94/x
  3. Step 3: Cross multiply
    2,679.18x = 4,019.31 × 947.94
  4. Step 4: Simplify right side
    2,679.18x = 3,810,064.72
  5. Step 5: Solve for x
    x = 3,810,064.72/2,679.18
  6. Step 6: Final answer
    x = 1,422.10

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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.