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Finding the Fourth Proportional to 1,695.23, 2,542.98 and 805.85

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Solution

The fourth proportional to 1,695.23, 2,542.98 and 805.85 is: 1,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.23 : 2,542.98 = 805.85 : x
  2. Step 2: Convert to fraction form
    1,695.23/2,542.98 = 805.85/x
  3. Step 3: Cross multiply
    1,695.23x = 2,542.98 × 805.85
  4. Step 4: Simplify right side
    1,695.23x = 2,049,247.72
  5. Step 5: Solve for x
    x = 2,049,247.72/1,695.23
  6. Step 6: Final answer
    x = 1,208.84

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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.