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Finding the Fourth Proportional to 1,524.98, 2,104.08 and 935.85

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Solution

The fourth proportional to 1,524.98, 2,104.08 and 935.85 is: 1,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.98 : 2,104.08 = 935.85 : x
  2. Step 2: Convert to fraction form
    1,524.98/2,104.08 = 935.85/x
  3. Step 3: Cross multiply
    1,524.98x = 2,104.08 × 935.85
  4. Step 4: Simplify right side
    1,524.98x = 1,969,107.65
  5. Step 5: Solve for x
    x = 1,969,107.65/1,524.98
  6. Step 6: Final answer
    x = 1,291.24

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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.