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Finding the Fourth Proportional to 2,935.89, 4,403.84 and 744.61

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Solution

The fourth proportional to 2,935.89, 4,403.84 and 744.61 is: 1,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.89 : 4,403.84 = 744.61 : x
  2. Step 2: Convert to fraction form
    2,935.89/4,403.84 = 744.61/x
  3. Step 3: Cross multiply
    2,935.89x = 4,403.84 × 744.61
  4. Step 4: Simplify right side
    2,935.89x = 3,279,143.30
  5. Step 5: Solve for x
    x = 3,279,143.30/2,935.89
  6. Step 6: Final answer
    x = 1,116.92

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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.