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Finding the Fourth Proportional to 2,866.92, 4,302 and 2,844.96

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Solution

The fourth proportional to 2,866.92, 4,302 and 2,844.96 is: 4,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.92 : 4,302 = 2,844.96 : x
  2. Step 2: Convert to fraction form
    2,866.92/4,302 = 2,844.96/x
  3. Step 3: Cross multiply
    2,866.92x = 4,302 × 2,844.96
  4. Step 4: Simplify right side
    2,866.92x = 12,239,017.92
  5. Step 5: Solve for x
    x = 12,239,017.92/2,866.92
  6. Step 6: Final answer
    x = 4,269.05

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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.