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Finding the Fourth Proportional to 2,847.48, 4,270.74 and 795

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Solution

The fourth proportional to 2,847.48, 4,270.74 and 795 is: 1,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.48 : 4,270.74 = 795 : x
  2. Step 2: Convert to fraction form
    2,847.48/4,270.74 = 795/x
  3. Step 3: Cross multiply
    2,847.48x = 4,270.74 × 795
  4. Step 4: Simplify right side
    2,847.48x = 3,395,238.30
  5. Step 5: Solve for x
    x = 3,395,238.30/2,847.48
  6. Step 6: Final answer
    x = 1,192.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.