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Finding the Fourth Proportional to 2,847.18, 4,270.47 and 767.10

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Solution

The fourth proportional to 2,847.18, 4,270.47 and 767.10 is: 1,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.18 : 4,270.47 = 767.10 : x
  2. Step 2: Convert to fraction form
    2,847.18/4,270.47 = 767.10/x
  3. Step 3: Cross multiply
    2,847.18x = 4,270.47 × 767.10
  4. Step 4: Simplify right side
    2,847.18x = 3,275,877.54
  5. Step 5: Solve for x
    x = 3,275,877.54/2,847.18
  6. Step 6: Final answer
    x = 1,150.57

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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.