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Finding the Fourth Proportional to 2,935.25, 4,402.46 and 743.84

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Solution

The fourth proportional to 2,935.25, 4,402.46 and 743.84 is: 1,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.25 : 4,402.46 = 743.84 : x
  2. Step 2: Convert to fraction form
    2,935.25/4,402.46 = 743.84/x
  3. Step 3: Cross multiply
    2,935.25x = 4,402.46 × 743.84
  4. Step 4: Simplify right side
    2,935.25x = 3,274,700.11
  5. Step 5: Solve for x
    x = 3,274,700.11/2,935.25
  6. Step 6: Final answer
    x = 1,115.65

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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.