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Finding the Fourth Proportional to 1,933.28, 2,900.32 and 945.12

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Solution

The fourth proportional to 1,933.28, 2,900.32 and 945.12 is: 1,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.28 : 2,900.32 = 945.12 : x
  2. Step 2: Convert to fraction form
    1,933.28/2,900.32 = 945.12/x
  3. Step 3: Cross multiply
    1,933.28x = 2,900.32 × 945.12
  4. Step 4: Simplify right side
    1,933.28x = 2,741,150.44
  5. Step 5: Solve for x
    x = 2,741,150.44/1,933.28
  6. Step 6: Final answer
    x = 1,417.88

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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.