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Finding the Fourth Proportional to 2,607.55, 3,910.71 and 758.25

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Solution

The fourth proportional to 2,607.55, 3,910.71 and 758.25 is: 1,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.55 : 3,910.71 = 758.25 : x
  2. Step 2: Convert to fraction form
    2,607.55/3,910.71 = 758.25/x
  3. Step 3: Cross multiply
    2,607.55x = 3,910.71 × 758.25
  4. Step 4: Simplify right side
    2,607.55x = 2,965,295.86
  5. Step 5: Solve for x
    x = 2,965,295.86/2,607.55
  6. Step 6: Final answer
    x = 1,137.20

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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.