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Finding the Fourth Proportional to 2,538.67, 3,807.19 and 806.89

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Solution

The fourth proportional to 2,538.67, 3,807.19 and 806.89 is: 1,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.67 : 3,807.19 = 806.89 : x
  2. Step 2: Convert to fraction form
    2,538.67/3,807.19 = 806.89/x
  3. Step 3: Cross multiply
    2,538.67x = 3,807.19 × 806.89
  4. Step 4: Simplify right side
    2,538.67x = 3,071,983.54
  5. Step 5: Solve for x
    x = 3,071,983.54/2,538.67
  6. Step 6: Final answer
    x = 1,210.08

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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.