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Finding the Fourth Proportional to 2,914.20, 4,371.36 and 966.36

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Solution

The fourth proportional to 2,914.20, 4,371.36 and 966.36 is: 1,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.20 : 4,371.36 = 966.36 : x
  2. Step 2: Convert to fraction form
    2,914.20/4,371.36 = 966.36/x
  3. Step 3: Cross multiply
    2,914.20x = 4,371.36 × 966.36
  4. Step 4: Simplify right side
    2,914.20x = 4,224,307.45
  5. Step 5: Solve for x
    x = 4,224,307.45/2,914.20
  6. Step 6: Final answer
    x = 1,449.56

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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.