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Finding the Fourth Proportional to 2,789.46, 4,184.19 and 841.61

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Solution

The fourth proportional to 2,789.46, 4,184.19 and 841.61 is: 1,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.46 : 4,184.19 = 841.61 : x
  2. Step 2: Convert to fraction form
    2,789.46/4,184.19 = 841.61/x
  3. Step 3: Cross multiply
    2,789.46x = 4,184.19 × 841.61
  4. Step 4: Simplify right side
    2,789.46x = 3,521,466.61
  5. Step 5: Solve for x
    x = 3,521,466.61/2,789.46
  6. Step 6: Final answer
    x = 1,262.42

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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.