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Finding the Fourth Proportional to 1,694.93, 2,542.62 and 462.46

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Solution

The fourth proportional to 1,694.93, 2,542.62 and 462.46 is: 693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.93 : 2,542.62 = 462.46 : x
  2. Step 2: Convert to fraction form
    1,694.93/2,542.62 = 462.46/x
  3. Step 3: Cross multiply
    1,694.93x = 2,542.62 × 462.46
  4. Step 4: Simplify right side
    1,694.93x = 1,175,856.29
  5. Step 5: Solve for x
    x = 1,175,856.29/1,694.93
  6. Step 6: Final answer
    x = 693.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.