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Finding the Fourth Proportional to 1,694.16, 2,536.92 and 1,551.60

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Solution

The fourth proportional to 1,694.16, 2,536.92 and 1,551.60 is: 2,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.16 : 2,536.92 = 1,551.60 : x
  2. Step 2: Convert to fraction form
    1,694.16/2,536.92 = 1,551.60/x
  3. Step 3: Cross multiply
    1,694.16x = 2,536.92 × 1,551.60
  4. Step 4: Simplify right side
    1,694.16x = 3,936,285.07
  5. Step 5: Solve for x
    x = 3,936,285.07/1,694.16
  6. Step 6: Final answer
    x = 2,323.44

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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.