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Finding the Fourth Proportional to 2,679.13, 4,019.10 and 947.62

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Solution

The fourth proportional to 2,679.13, 4,019.10 and 947.62 is: 1,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.13 : 4,019.10 = 947.62 : x
  2. Step 2: Convert to fraction form
    2,679.13/4,019.10 = 947.62/x
  3. Step 3: Cross multiply
    2,679.13x = 4,019.10 × 947.62
  4. Step 4: Simplify right side
    2,679.13x = 3,808,579.54
  5. Step 5: Solve for x
    x = 3,808,579.54/2,679.13
  6. Step 6: Final answer
    x = 1,421.57

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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.