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Finding the Fourth Proportional to 1,694.52, 2,542.32 and 1,078.76

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Solution

The fourth proportional to 1,694.52, 2,542.32 and 1,078.76 is: 1,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.52 : 2,542.32 = 1,078.76 : x
  2. Step 2: Convert to fraction form
    1,694.52/2,542.32 = 1,078.76/x
  3. Step 3: Cross multiply
    1,694.52x = 2,542.32 × 1,078.76
  4. Step 4: Simplify right side
    1,694.52x = 2,742,553.12
  5. Step 5: Solve for x
    x = 2,742,553.12/1,694.52
  6. Step 6: Final answer
    x = 1,618.48

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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.