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Finding the Fourth Proportional to 2,607.09, 3,910.65 and 659.29

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Solution

The fourth proportional to 2,607.09, 3,910.65 and 659.29 is: 988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.09 : 3,910.65 = 659.29 : x
  2. Step 2: Convert to fraction form
    2,607.09/3,910.65 = 659.29/x
  3. Step 3: Cross multiply
    2,607.09x = 3,910.65 × 659.29
  4. Step 4: Simplify right side
    2,607.09x = 2,578,247.52
  5. Step 5: Solve for x
    x = 2,578,247.52/2,607.09
  6. Step 6: Final answer
    x = 988.94

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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.