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Finding the Fourth Proportional to 2,403.15, 3,603.45 and 759.27

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Solution

The fourth proportional to 2,403.15, 3,603.45 and 759.27 is: 1,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.15 : 3,603.45 = 759.27 : x
  2. Step 2: Convert to fraction form
    2,403.15/3,603.45 = 759.27/x
  3. Step 3: Cross multiply
    2,403.15x = 3,603.45 × 759.27
  4. Step 4: Simplify right side
    2,403.15x = 2,735,991.48
  5. Step 5: Solve for x
    x = 2,735,991.48/2,403.15
  6. Step 6: Final answer
    x = 1,138.50

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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.