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Finding the Fourth Proportional to 2,696.34, 4,046.37 and 1,052.91

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Solution

The fourth proportional to 2,696.34, 4,046.37 and 1,052.91 is: 1,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.34 : 4,046.37 = 1,052.91 : x
  2. Step 2: Convert to fraction form
    2,696.34/4,046.37 = 1,052.91/x
  3. Step 3: Cross multiply
    2,696.34x = 4,046.37 × 1,052.91
  4. Step 4: Simplify right side
    2,696.34x = 4,260,463.44
  5. Step 5: Solve for x
    x = 4,260,463.44/2,696.34
  6. Step 6: Final answer
    x = 1,580.09

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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.