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Finding the Fourth Proportional to 2,338.58, 3,508.44 and 695.12

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Solution

The fourth proportional to 2,338.58, 3,508.44 and 695.12 is: 1,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.58 : 3,508.44 = 695.12 : x
  2. Step 2: Convert to fraction form
    2,338.58/3,508.44 = 695.12/x
  3. Step 3: Cross multiply
    2,338.58x = 3,508.44 × 695.12
  4. Step 4: Simplify right side
    2,338.58x = 2,438,769.27
  5. Step 5: Solve for x
    x = 2,438,769.27/2,338.58
  6. Step 6: Final answer
    x = 1,042.84

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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.