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Finding the Fourth Proportional to 2,606.89, 3,910.54 and 758.00

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Solution

The fourth proportional to 2,606.89, 3,910.54 and 758.00 is: 1,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.89 : 3,910.54 = 758.00 : x
  2. Step 2: Convert to fraction form
    2,606.89/3,910.54 = 758.00/x
  3. Step 3: Cross multiply
    2,606.89x = 3,910.54 × 758.00
  4. Step 4: Simplify right side
    2,606.89x = 2,964,176.55
  5. Step 5: Solve for x
    x = 2,964,176.55/2,606.89
  6. Step 6: Final answer
    x = 1,137.06

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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.