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Finding the Fourth Proportional to 1,367.42, 1,887.67 and 895.33

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Solution

The fourth proportional to 1,367.42, 1,887.67 and 895.33 is: 1,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.42 : 1,887.67 = 895.33 : x
  2. Step 2: Convert to fraction form
    1,367.42/1,887.67 = 895.33/x
  3. Step 3: Cross multiply
    1,367.42x = 1,887.67 × 895.33
  4. Step 4: Simplify right side
    1,367.42x = 1,690,087.58
  5. Step 5: Solve for x
    x = 1,690,087.58/1,367.42
  6. Step 6: Final answer
    x = 1,235.97

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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.