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Finding the Fourth Proportional to 2,716.16, 4,071.80 and 960.12

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Solution

The fourth proportional to 2,716.16, 4,071.80 and 960.12 is: 1,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.16 : 4,071.80 = 960.12 : x
  2. Step 2: Convert to fraction form
    2,716.16/4,071.80 = 960.12/x
  3. Step 3: Cross multiply
    2,716.16x = 4,071.80 × 960.12
  4. Step 4: Simplify right side
    2,716.16x = 3,909,416.62
  5. Step 5: Solve for x
    x = 3,909,416.62/2,716.16
  6. Step 6: Final answer
    x = 1,439.32

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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.