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Finding the Fourth Proportional to 2,400.35, 3,600.97 and 756.77

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Solution

The fourth proportional to 2,400.35, 3,600.97 and 756.77 is: 1,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.35 : 3,600.97 = 756.77 : x
  2. Step 2: Convert to fraction form
    2,400.35/3,600.97 = 756.77/x
  3. Step 3: Cross multiply
    2,400.35x = 3,600.97 × 756.77
  4. Step 4: Simplify right side
    2,400.35x = 2,725,086.17
  5. Step 5: Solve for x
    x = 2,725,086.17/2,400.35
  6. Step 6: Final answer
    x = 1,135.29

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