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Finding the Fourth Proportional to 2,287.89, 3,430.55 and 727.62

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Solution

The fourth proportional to 2,287.89, 3,430.55 and 727.62 is: 1,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.89 : 3,430.55 = 727.62 : x
  2. Step 2: Convert to fraction form
    2,287.89/3,430.55 = 727.62/x
  3. Step 3: Cross multiply
    2,287.89x = 3,430.55 × 727.62
  4. Step 4: Simplify right side
    2,287.89x = 2,496,125.75
  5. Step 5: Solve for x
    x = 2,496,125.75/2,287.89
  6. Step 6: Final answer
    x = 1,091.02

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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.