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Finding the Fourth Proportional to 2,687.01, 3,708.17 and 1,567.77

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Solution

The fourth proportional to 2,687.01, 3,708.17 and 1,567.77 is: 2,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.01 : 3,708.17 = 1,567.77 : x
  2. Step 2: Convert to fraction form
    2,687.01/3,708.17 = 1,567.77/x
  3. Step 3: Cross multiply
    2,687.01x = 3,708.17 × 1,567.77
  4. Step 4: Simplify right side
    2,687.01x = 5,813,549.84
  5. Step 5: Solve for x
    x = 5,813,549.84/2,687.01
  6. Step 6: Final answer
    x = 2,163.58

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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.