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Finding the Fourth Proportional to 1,603.75, 2,213.19 and 905.14

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Solution

The fourth proportional to 1,603.75, 2,213.19 and 905.14 is: 1,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.75 : 2,213.19 = 905.14 : x
  2. Step 2: Convert to fraction form
    1,603.75/2,213.19 = 905.14/x
  3. Step 3: Cross multiply
    1,603.75x = 2,213.19 × 905.14
  4. Step 4: Simplify right side
    1,603.75x = 2,003,246.80
  5. Step 5: Solve for x
    x = 2,003,246.80/1,603.75
  6. Step 6: Final answer
    x = 1,249.10

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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.