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Finding the Fourth Proportional to 2,607.80, 3,911.69 and 659.95

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Solution

The fourth proportional to 2,607.80, 3,911.69 and 659.95 is: 989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.80 : 3,911.69 = 659.95 : x
  2. Step 2: Convert to fraction form
    2,607.80/3,911.69 = 659.95/x
  3. Step 3: Cross multiply
    2,607.80x = 3,911.69 × 659.95
  4. Step 4: Simplify right side
    2,607.80x = 2,581,511.69
  5. Step 5: Solve for x
    x = 2,581,511.69/2,607.80
  6. Step 6: Final answer
    x = 989.92

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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.