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Finding the Fourth Proportional to 2,339.62, 3,508.82 and 695.76

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Solution

The fourth proportional to 2,339.62, 3,508.82 and 695.76 is: 1,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.62 : 3,508.82 = 695.76 : x
  2. Step 2: Convert to fraction form
    2,339.62/3,508.82 = 695.76/x
  3. Step 3: Cross multiply
    2,339.62x = 3,508.82 × 695.76
  4. Step 4: Simplify right side
    2,339.62x = 2,441,296.60
  5. Step 5: Solve for x
    x = 2,441,296.60/2,339.62
  6. Step 6: Final answer
    x = 1,043.46

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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.