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Finding the Fourth Proportional to 2,881.92, 4,316.67 and 1,952.38

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Solution

The fourth proportional to 2,881.92, 4,316.67 and 1,952.38 is: 2,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.92 : 4,316.67 = 1,952.38 : x
  2. Step 2: Convert to fraction form
    2,881.92/4,316.67 = 1,952.38/x
  3. Step 3: Cross multiply
    2,881.92x = 4,316.67 × 1,952.38
  4. Step 4: Simplify right side
    2,881.92x = 8,427,769.38
  5. Step 5: Solve for x
    x = 8,427,769.38/2,881.92
  6. Step 6: Final answer
    x = 2,924.36

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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.