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Finding the Fourth Proportional to 2,743.26, 4,114.98 and 795.48

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Solution

The fourth proportional to 2,743.26, 4,114.98 and 795.48 is: 1,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.26 : 4,114.98 = 795.48 : x
  2. Step 2: Convert to fraction form
    2,743.26/4,114.98 = 795.48/x
  3. Step 3: Cross multiply
    2,743.26x = 4,114.98 × 795.48
  4. Step 4: Simplify right side
    2,743.26x = 3,273,384.29
  5. Step 5: Solve for x
    x = 3,273,384.29/2,743.26
  6. Step 6: Final answer
    x = 1,193.25

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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.