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Finding the Fourth Proportional to 2,789.49, 4,184.13 and 841.65

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Solution

The fourth proportional to 2,789.49, 4,184.13 and 841.65 is: 1,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.49 : 4,184.13 = 841.65 : x
  2. Step 2: Convert to fraction form
    2,789.49/4,184.13 = 841.65/x
  3. Step 3: Cross multiply
    2,789.49x = 4,184.13 × 841.65
  4. Step 4: Simplify right side
    2,789.49x = 3,521,573.01
  5. Step 5: Solve for x
    x = 3,521,573.01/2,789.49
  6. Step 6: Final answer
    x = 1,262.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.