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Finding the Fourth Proportional to 2,743.44, 3,783.42 and 2,427.54

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Solution

The fourth proportional to 2,743.44, 3,783.42 and 2,427.54 is: 3,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.44 : 3,783.42 = 2,427.54 : x
  2. Step 2: Convert to fraction form
    2,743.44/3,783.42 = 2,427.54/x
  3. Step 3: Cross multiply
    2,743.44x = 3,783.42 × 2,427.54
  4. Step 4: Simplify right side
    2,743.44x = 9,184,403.39
  5. Step 5: Solve for x
    x = 9,184,403.39/2,743.44
  6. Step 6: Final answer
    x = 3,347.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.