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Finding the Fourth Proportional to 2,338.78, 3,508.85 and 695.47

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Solution

The fourth proportional to 2,338.78, 3,508.85 and 695.47 is: 1,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.78 : 3,508.85 = 695.47 : x
  2. Step 2: Convert to fraction form
    2,338.78/3,508.85 = 695.47/x
  3. Step 3: Cross multiply
    2,338.78x = 3,508.85 × 695.47
  4. Step 4: Simplify right side
    2,338.78x = 2,440,296.43
  5. Step 5: Solve for x
    x = 2,440,296.43/2,338.78
  6. Step 6: Final answer
    x = 1,043.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.