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Finding the Fourth Proportional to 2,914.32, 4,372.02 and 966.12

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Solution

The fourth proportional to 2,914.32, 4,372.02 and 966.12 is: 1,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.32 : 4,372.02 = 966.12 : x
  2. Step 2: Convert to fraction form
    2,914.32/4,372.02 = 966.12/x
  3. Step 3: Cross multiply
    2,914.32x = 4,372.02 × 966.12
  4. Step 4: Simplify right side
    2,914.32x = 4,223,895.96
  5. Step 5: Solve for x
    x = 4,223,895.96/2,914.32
  6. Step 6: Final answer
    x = 1,449.36

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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.