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Finding the Fourth Proportional to 2,338.34, 3,507.86 and 695.04

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Solution

The fourth proportional to 2,338.34, 3,507.86 and 695.04 is: 1,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.34 : 3,507.86 = 695.04 : x
  2. Step 2: Convert to fraction form
    2,338.34/3,507.86 = 695.04/x
  3. Step 3: Cross multiply
    2,338.34x = 3,507.86 × 695.04
  4. Step 4: Simplify right side
    2,338.34x = 2,438,103.01
  5. Step 5: Solve for x
    x = 2,438,103.01/2,338.34
  6. Step 6: Final answer
    x = 1,042.66

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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.