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Finding the Fourth Proportional to 2,288.10, 3,430.92 and 727.68

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Solution

The fourth proportional to 2,288.10, 3,430.92 and 727.68 is: 1,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.10 : 3,430.92 = 727.68 : x
  2. Step 2: Convert to fraction form
    2,288.10/3,430.92 = 727.68/x
  3. Step 3: Cross multiply
    2,288.10x = 3,430.92 × 727.68
  4. Step 4: Simplify right side
    2,288.10x = 2,496,591.07
  5. Step 5: Solve for x
    x = 2,496,591.07/2,288.10
  6. Step 6: Final answer
    x = 1,091.12

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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.