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Finding the Fourth Proportional to 2,689.91, 4,034.83 and 841.04

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Solution

The fourth proportional to 2,689.91, 4,034.83 and 841.04 is: 1,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.91 : 4,034.83 = 841.04 : x
  2. Step 2: Convert to fraction form
    2,689.91/4,034.83 = 841.04/x
  3. Step 3: Cross multiply
    2,689.91x = 4,034.83 × 841.04
  4. Step 4: Simplify right side
    2,689.91x = 3,393,429.04
  5. Step 5: Solve for x
    x = 3,393,429.04/2,689.91
  6. Step 6: Final answer
    x = 1,261.54

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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.