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Finding the Fourth Proportional to 2,234.52, 3,352.34 and 695.48

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Solution

The fourth proportional to 2,234.52, 3,352.34 and 695.48 is: 1,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.52 : 3,352.34 = 695.48 : x
  2. Step 2: Convert to fraction form
    2,234.52/3,352.34 = 695.48/x
  3. Step 3: Cross multiply
    2,234.52x = 3,352.34 × 695.48
  4. Step 4: Simplify right side
    2,234.52x = 2,331,485.42
  5. Step 5: Solve for x
    x = 2,331,485.42/2,234.52
  6. Step 6: Final answer
    x = 1,043.39

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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.