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Finding the Fourth Proportional to 2,841.88, 4,262.24 and 761.39

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Solution

The fourth proportional to 2,841.88, 4,262.24 and 761.39 is: 1,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.88 : 4,262.24 = 761.39 : x
  2. Step 2: Convert to fraction form
    2,841.88/4,262.24 = 761.39/x
  3. Step 3: Cross multiply
    2,841.88x = 4,262.24 × 761.39
  4. Step 4: Simplify right side
    2,841.88x = 3,245,246.65
  5. Step 5: Solve for x
    x = 3,245,246.65/2,841.88
  6. Step 6: Final answer
    x = 1,141.94

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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.