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Finding the Fourth Proportional to 2,504.65, 3,752.55 and 2,233.15

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Solution

The fourth proportional to 2,504.65, 3,752.55 and 2,233.15 is: 3,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.65 : 3,752.55 = 2,233.15 : x
  2. Step 2: Convert to fraction form
    2,504.65/3,752.55 = 2,233.15/x
  3. Step 3: Cross multiply
    2,504.65x = 3,752.55 × 2,233.15
  4. Step 4: Simplify right side
    2,504.65x = 8,380,007.03
  5. Step 5: Solve for x
    x = 8,380,007.03/2,504.65
  6. Step 6: Final answer
    x = 3,345.78

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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.