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Finding the Fourth Proportional to 1,393.16, 1,922.02 and 895.73

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Solution

The fourth proportional to 1,393.16, 1,922.02 and 895.73 is: 1,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.16 : 1,922.02 = 895.73 : x
  2. Step 2: Convert to fraction form
    1,393.16/1,922.02 = 895.73/x
  3. Step 3: Cross multiply
    1,393.16x = 1,922.02 × 895.73
  4. Step 4: Simplify right side
    1,393.16x = 1,721,610.97
  5. Step 5: Solve for x
    x = 1,721,610.97/1,393.16
  6. Step 6: Final answer
    x = 1,235.76

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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.