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Finding the Fourth Proportional to 2,606.40, 3,907.23 and 961.80

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Solution

The fourth proportional to 2,606.40, 3,907.23 and 961.80 is: 1,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.40 : 3,907.23 = 961.80 : x
  2. Step 2: Convert to fraction form
    2,606.40/3,907.23 = 961.80/x
  3. Step 3: Cross multiply
    2,606.40x = 3,907.23 × 961.80
  4. Step 4: Simplify right side
    2,606.40x = 3,757,973.81
  5. Step 5: Solve for x
    x = 3,757,973.81/2,606.40
  6. Step 6: Final answer
    x = 1,441.83

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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.