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Finding the Fourth Proportional to 2,305.34, 3,458.01 and 1,285.82

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Solution

The fourth proportional to 2,305.34, 3,458.01 and 1,285.82 is: 1,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.34 : 3,458.01 = 1,285.82 : x
  2. Step 2: Convert to fraction form
    2,305.34/3,458.01 = 1,285.82/x
  3. Step 3: Cross multiply
    2,305.34x = 3,458.01 × 1,285.82
  4. Step 4: Simplify right side
    2,305.34x = 4,446,378.42
  5. Step 5: Solve for x
    x = 4,446,378.42/2,305.34
  6. Step 6: Final answer
    x = 1,928.73

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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.