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Finding the Fourth Proportional to 2,743.09, 4,114.94 and 894.26

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Solution

The fourth proportional to 2,743.09, 4,114.94 and 894.26 is: 1,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.09 : 4,114.94 = 894.26 : x
  2. Step 2: Convert to fraction form
    2,743.09/4,114.94 = 894.26/x
  3. Step 3: Cross multiply
    2,743.09x = 4,114.94 × 894.26
  4. Step 4: Simplify right side
    2,743.09x = 3,679,832.06
  5. Step 5: Solve for x
    x = 3,679,832.06/2,743.09
  6. Step 6: Final answer
    x = 1,341.49

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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.