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Finding the Fourth Proportional to 2,605.01, 3,907.51 and 960.71

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Solution

The fourth proportional to 2,605.01, 3,907.51 and 960.71 is: 1,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.01 : 3,907.51 = 960.71 : x
  2. Step 2: Convert to fraction form
    2,605.01/3,907.51 = 960.71/x
  3. Step 3: Cross multiply
    2,605.01x = 3,907.51 × 960.71
  4. Step 4: Simplify right side
    2,605.01x = 3,753,961.99
  5. Step 5: Solve for x
    x = 3,753,961.99/2,605.01
  6. Step 6: Final answer
    x = 1,441.06

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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.