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Finding the Fourth Proportional to 2,933.45, 4,399.61 and 852.96

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Solution

The fourth proportional to 2,933.45, 4,399.61 and 852.96 is: 1,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.45 : 4,399.61 = 852.96 : x
  2. Step 2: Convert to fraction form
    2,933.45/4,399.61 = 852.96/x
  3. Step 3: Cross multiply
    2,933.45x = 4,399.61 × 852.96
  4. Step 4: Simplify right side
    2,933.45x = 3,752,693.48
  5. Step 5: Solve for x
    x = 3,752,693.48/2,933.45
  6. Step 6: Final answer
    x = 1,279.28

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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.