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Finding the Fourth Proportional to 3,437.98, 4,744.25 and 1,945.86

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Solution

The fourth proportional to 3,437.98, 4,744.25 and 1,945.86 is: 2,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.98 : 4,744.25 = 1,945.86 : x
  2. Step 2: Convert to fraction form
    3,437.98/4,744.25 = 1,945.86/x
  3. Step 3: Cross multiply
    3,437.98x = 4,744.25 × 1,945.86
  4. Step 4: Simplify right side
    3,437.98x = 9,231,652.94
  5. Step 5: Solve for x
    x = 9,231,652.94/3,437.98
  6. Step 6: Final answer
    x = 2,685.20

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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.