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Finding the Fourth Proportional to 2,850.77, 4,275.14 and 1,207.44

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Solution

The fourth proportional to 2,850.77, 4,275.14 and 1,207.44 is: 1,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.77 : 4,275.14 = 1,207.44 : x
  2. Step 2: Convert to fraction form
    2,850.77/4,275.14 = 1,207.44/x
  3. Step 3: Cross multiply
    2,850.77x = 4,275.14 × 1,207.44
  4. Step 4: Simplify right side
    2,850.77x = 5,161,975.04
  5. Step 5: Solve for x
    x = 5,161,975.04/2,850.77
  6. Step 6: Final answer
    x = 1,810.73

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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.