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Finding the Fourth Proportional to 2,604.62, 3,922.43 and 2,347.65

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Solution

The fourth proportional to 2,604.62, 3,922.43 and 2,347.65 is: 3,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.62 : 3,922.43 = 2,347.65 : x
  2. Step 2: Convert to fraction form
    2,604.62/3,922.43 = 2,347.65/x
  3. Step 3: Cross multiply
    2,604.62x = 3,922.43 × 2,347.65
  4. Step 4: Simplify right side
    2,604.62x = 9,208,481.05
  5. Step 5: Solve for x
    x = 9,208,481.05/2,604.62
  6. Step 6: Final answer
    x = 3,535.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.