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Finding the Fourth Proportional to 2,914.13, 4,371.60 and 966.13

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Solution

The fourth proportional to 2,914.13, 4,371.60 and 966.13 is: 1,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.13 : 4,371.60 = 966.13 : x
  2. Step 2: Convert to fraction form
    2,914.13/4,371.60 = 966.13/x
  3. Step 3: Cross multiply
    2,914.13x = 4,371.60 × 966.13
  4. Step 4: Simplify right side
    2,914.13x = 4,223,533.91
  5. Step 5: Solve for x
    x = 4,223,533.91/2,914.13
  6. Step 6: Final answer
    x = 1,449.33

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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.