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Finding the Fourth Proportional to 2,338.59, 3,507.82 and 695.14

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Solution

The fourth proportional to 2,338.59, 3,507.82 and 695.14 is: 1,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.59 : 3,507.82 = 695.14 : x
  2. Step 2: Convert to fraction form
    2,338.59/3,507.82 = 695.14/x
  3. Step 3: Cross multiply
    2,338.59x = 3,507.82 × 695.14
  4. Step 4: Simplify right side
    2,338.59x = 2,438,425.99
  5. Step 5: Solve for x
    x = 2,438,425.99/2,338.59
  6. Step 6: Final answer
    x = 1,042.69

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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.