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Finding the Fourth Proportional to 1,682.94, 2,525.42 and 1,065.78

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Solution

The fourth proportional to 1,682.94, 2,525.42 and 1,065.78 is: 1,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.94 : 2,525.42 = 1,065.78 : x
  2. Step 2: Convert to fraction form
    1,682.94/2,525.42 = 1,065.78/x
  3. Step 3: Cross multiply
    1,682.94x = 2,525.42 × 1,065.78
  4. Step 4: Simplify right side
    1,682.94x = 2,691,542.13
  5. Step 5: Solve for x
    x = 2,691,542.13/1,682.94
  6. Step 6: Final answer
    x = 1,599.31

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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.