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Finding the Fourth Proportional to 2,827.06, 3,901.16 and 1,567.78

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Solution

The fourth proportional to 2,827.06, 3,901.16 and 1,567.78 is: 2,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.06 : 3,901.16 = 1,567.78 : x
  2. Step 2: Convert to fraction form
    2,827.06/3,901.16 = 1,567.78/x
  3. Step 3: Cross multiply
    2,827.06x = 3,901.16 × 1,567.78
  4. Step 4: Simplify right side
    2,827.06x = 6,116,160.62
  5. Step 5: Solve for x
    x = 6,116,160.62/2,827.06
  6. Step 6: Final answer
    x = 2,163.44

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Why These Related Problems?

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