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Finding the Fourth Proportional to 2,743.74, 4,115.42 and 894.82

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Solution

The fourth proportional to 2,743.74, 4,115.42 and 894.82 is: 1,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.74 : 4,115.42 = 894.82 : x
  2. Step 2: Convert to fraction form
    2,743.74/4,115.42 = 894.82/x
  3. Step 3: Cross multiply
    2,743.74x = 4,115.42 × 894.82
  4. Step 4: Simplify right side
    2,743.74x = 3,682,541.78
  5. Step 5: Solve for x
    x = 3,682,541.78/2,743.74
  6. Step 6: Final answer
    x = 1,342.16

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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.