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Finding the Fourth Proportional to 1,603.11, 2,212.26 and 895

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Solution

The fourth proportional to 1,603.11, 2,212.26 and 895 is: 1,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.11 : 2,212.26 = 895 : x
  2. Step 2: Convert to fraction form
    1,603.11/2,212.26 = 895/x
  3. Step 3: Cross multiply
    1,603.11x = 2,212.26 × 895
  4. Step 4: Simplify right side
    1,603.11x = 1,979,972.70
  5. Step 5: Solve for x
    x = 1,979,972.70/1,603.11
  6. Step 6: Final answer
    x = 1,235.08

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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.