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Finding the Fourth Proportional to 2,603.94, 3,906.49 and 755.13

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Solution

The fourth proportional to 2,603.94, 3,906.49 and 755.13 is: 1,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.94 : 3,906.49 = 755.13 : x
  2. Step 2: Convert to fraction form
    2,603.94/3,906.49 = 755.13/x
  3. Step 3: Cross multiply
    2,603.94x = 3,906.49 × 755.13
  4. Step 4: Simplify right side
    2,603.94x = 2,949,905.91
  5. Step 5: Solve for x
    x = 2,949,905.91/2,603.94
  6. Step 6: Final answer
    x = 1,132.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.