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Finding the Fourth Proportional to 3,437.56, 4,743.94 and 1,945.46

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Solution

The fourth proportional to 3,437.56, 4,743.94 and 1,945.46 is: 2,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.56 : 4,743.94 = 1,945.46 : x
  2. Step 2: Convert to fraction form
    3,437.56/4,743.94 = 1,945.46/x
  3. Step 3: Cross multiply
    3,437.56x = 4,743.94 × 1,945.46
  4. Step 4: Simplify right side
    3,437.56x = 9,229,121.79
  5. Step 5: Solve for x
    x = 9,229,121.79/3,437.56
  6. Step 6: Final answer
    x = 2,684.79

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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.