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Finding the Fourth Proportional to 1,603.58, 2,212.89 and 895.44

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Solution

The fourth proportional to 1,603.58, 2,212.89 and 895.44 is: 1,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.58 : 2,212.89 = 895.44 : x
  2. Step 2: Convert to fraction form
    1,603.58/2,212.89 = 895.44/x
  3. Step 3: Cross multiply
    1,603.58x = 2,212.89 × 895.44
  4. Step 4: Simplify right side
    1,603.58x = 1,981,510.22
  5. Step 5: Solve for x
    x = 1,981,510.22/1,603.58
  6. Step 6: Final answer
    x = 1,235.68

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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.