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Finding the Fourth Proportional to 3,140.14, 4,716.90 and 1,908.14

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Solution

The fourth proportional to 3,140.14, 4,716.90 and 1,908.14 is: 2,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.14 : 4,716.90 = 1,908.14 : x
  2. Step 2: Convert to fraction form
    3,140.14/4,716.90 = 1,908.14/x
  3. Step 3: Cross multiply
    3,140.14x = 4,716.90 × 1,908.14
  4. Step 4: Simplify right side
    3,140.14x = 9,000,505.57
  5. Step 5: Solve for x
    x = 9,000,505.57/3,140.14
  6. Step 6: Final answer
    x = 2,866.28

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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.