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Finding the Fourth Proportional to 2,679.13, 4,018.70 and 947.75

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Solution

The fourth proportional to 2,679.13, 4,018.70 and 947.75 is: 1,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.13 : 4,018.70 = 947.75 : x
  2. Step 2: Convert to fraction form
    2,679.13/4,018.70 = 947.75/x
  3. Step 3: Cross multiply
    2,679.13x = 4,018.70 × 947.75
  4. Step 4: Simplify right side
    2,679.13x = 3,808,722.93
  5. Step 5: Solve for x
    x = 3,808,722.93/2,679.13
  6. Step 6: Final answer
    x = 1,421.63

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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.