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Finding the Fourth Proportional to 2,966.27, 4,094.07 and 2,468.42

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Solution

The fourth proportional to 2,966.27, 4,094.07 and 2,468.42 is: 3,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.27 : 4,094.07 = 2,468.42 : x
  2. Step 2: Convert to fraction form
    2,966.27/4,094.07 = 2,468.42/x
  3. Step 3: Cross multiply
    2,966.27x = 4,094.07 × 2,468.42
  4. Step 4: Simplify right side
    2,966.27x = 10,105,863.80
  5. Step 5: Solve for x
    x = 10,105,863.80/2,966.27
  6. Step 6: Final answer
    x = 3,406.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.