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Finding the Fourth Proportional to 2,607.48, 3,910.91 and 659.70

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Solution

The fourth proportional to 2,607.48, 3,910.91 and 659.70 is: 989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.48 : 3,910.91 = 659.70 : x
  2. Step 2: Convert to fraction form
    2,607.48/3,910.91 = 659.70/x
  3. Step 3: Cross multiply
    2,607.48x = 3,910.91 × 659.70
  4. Step 4: Simplify right side
    2,607.48x = 2,580,024.03
  5. Step 5: Solve for x
    x = 2,580,024.03/2,607.48
  6. Step 6: Final answer
    x = 989.47

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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.