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Finding the Fourth Proportional to 2,339.73, 3,509.28 and 695.97

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Solution

The fourth proportional to 2,339.73, 3,509.28 and 695.97 is: 1,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.73 : 3,509.28 = 695.97 : x
  2. Step 2: Convert to fraction form
    2,339.73/3,509.28 = 695.97/x
  3. Step 3: Cross multiply
    2,339.73x = 3,509.28 × 695.97
  4. Step 4: Simplify right side
    2,339.73x = 2,442,353.60
  5. Step 5: Solve for x
    x = 2,442,353.60/2,339.73
  6. Step 6: Final answer
    x = 1,043.86

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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.