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Finding the Fourth Proportional to 2,866.16, 4,299.24 and 1,838

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Solution

The fourth proportional to 2,866.16, 4,299.24 and 1,838 is: 2,757

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.16 : 4,299.24 = 1,838 : x
  2. Step 2: Convert to fraction form
    2,866.16/4,299.24 = 1,838/x
  3. Step 3: Cross multiply
    2,866.16x = 4,299.24 × 1,838
  4. Step 4: Simplify right side
    2,866.16x = 7,902,003.12
  5. Step 5: Solve for x
    x = 7,902,003.12/2,866.16
  6. Step 6: Final answer
    x = 2,757

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.