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Finding the Fourth Proportional to 1,863.20, 2,794.81 and 753.12

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Solution

The fourth proportional to 1,863.20, 2,794.81 and 753.12 is: 1,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.20 : 2,794.81 = 753.12 : x
  2. Step 2: Convert to fraction form
    1,863.20/2,794.81 = 753.12/x
  3. Step 3: Cross multiply
    1,863.20x = 2,794.81 × 753.12
  4. Step 4: Simplify right side
    1,863.20x = 2,104,827.31
  5. Step 5: Solve for x
    x = 2,104,827.31/1,863.20
  6. Step 6: Final answer
    x = 1,129.68

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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.