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Finding the Fourth Proportional to 1,694.71, 2,537.10 and 1,285.46

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Solution

The fourth proportional to 1,694.71, 2,537.10 and 1,285.46 is: 1,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.71 : 2,537.10 = 1,285.46 : x
  2. Step 2: Convert to fraction form
    1,694.71/2,537.10 = 1,285.46/x
  3. Step 3: Cross multiply
    1,694.71x = 2,537.10 × 1,285.46
  4. Step 4: Simplify right side
    1,694.71x = 3,261,340.57
  5. Step 5: Solve for x
    x = 3,261,340.57/1,694.71
  6. Step 6: Final answer
    x = 1,924.42

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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.