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Finding the Fourth Proportional to 2,935.98, 4,403.97 and 744.71

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Solution

The fourth proportional to 2,935.98, 4,403.97 and 744.71 is: 1,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.98 : 4,403.97 = 744.71 : x
  2. Step 2: Convert to fraction form
    2,935.98/4,403.97 = 744.71/x
  3. Step 3: Cross multiply
    2,935.98x = 4,403.97 × 744.71
  4. Step 4: Simplify right side
    2,935.98x = 3,279,680.50
  5. Step 5: Solve for x
    x = 3,279,680.50/2,935.98
  6. Step 6: Final answer
    x = 1,117.07

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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.