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Finding the Fourth Proportional to 1,872.77, 2,584.22 and 1,086.66

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Solution

The fourth proportional to 1,872.77, 2,584.22 and 1,086.66 is: 1,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.77 : 2,584.22 = 1,086.66 : x
  2. Step 2: Convert to fraction form
    1,872.77/2,584.22 = 1,086.66/x
  3. Step 3: Cross multiply
    1,872.77x = 2,584.22 × 1,086.66
  4. Step 4: Simplify right side
    1,872.77x = 2,808,163.07
  5. Step 5: Solve for x
    x = 2,808,163.07/1,872.77
  6. Step 6: Final answer
    x = 1,499.47

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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.