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Finding the Fourth Proportional to 1,679.36, 2,516.62 and 947.38

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Solution

The fourth proportional to 1,679.36, 2,516.62 and 947.38 is: 1,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.36 : 2,516.62 = 947.38 : x
  2. Step 2: Convert to fraction form
    1,679.36/2,516.62 = 947.38/x
  3. Step 3: Cross multiply
    1,679.36x = 2,516.62 × 947.38
  4. Step 4: Simplify right side
    1,679.36x = 2,384,195.46
  5. Step 5: Solve for x
    x = 2,384,195.46/1,679.36
  6. Step 6: Final answer
    x = 1,419.70

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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.