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Finding the Fourth Proportional to 1,865.88, 2,571.66 and 1,367.46

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Solution

The fourth proportional to 1,865.88, 2,571.66 and 1,367.46 is: 1,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.88 : 2,571.66 = 1,367.46 : x
  2. Step 2: Convert to fraction form
    1,865.88/2,571.66 = 1,367.46/x
  3. Step 3: Cross multiply
    1,865.88x = 2,571.66 × 1,367.46
  4. Step 4: Simplify right side
    1,865.88x = 3,516,642.18
  5. Step 5: Solve for x
    x = 3,516,642.18/1,865.88
  6. Step 6: Final answer
    x = 1,884.71

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