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Finding the Fourth Proportional to 1,694.98, 2,542.70 and 1,592.46

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Solution

The fourth proportional to 1,694.98, 2,542.70 and 1,592.46 is: 2,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.98 : 2,542.70 = 1,592.46 : x
  2. Step 2: Convert to fraction form
    1,694.98/2,542.70 = 1,592.46/x
  3. Step 3: Cross multiply
    1,694.98x = 2,542.70 × 1,592.46
  4. Step 4: Simplify right side
    1,694.98x = 4,049,150.22
  5. Step 5: Solve for x
    x = 4,049,150.22/1,694.98
  6. Step 6: Final answer
    x = 2,388.91

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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.