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Finding the Fourth Proportional to 2,607.20, 3,910.42 and 659.28

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Solution

The fourth proportional to 2,607.20, 3,910.42 and 659.28 is: 988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.20 : 3,910.42 = 659.28 : x
  2. Step 2: Convert to fraction form
    2,607.20/3,910.42 = 659.28/x
  3. Step 3: Cross multiply
    2,607.20x = 3,910.42 × 659.28
  4. Step 4: Simplify right side
    2,607.20x = 2,578,061.70
  5. Step 5: Solve for x
    x = 2,578,061.70/2,607.20
  6. Step 6: Final answer
    x = 988.82

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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.