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Finding the Fourth Proportional to 2,805.91, 4,208.67 and 1,557.09

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Solution

The fourth proportional to 2,805.91, 4,208.67 and 1,557.09 is: 2,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.91 : 4,208.67 = 1,557.09 : x
  2. Step 2: Convert to fraction form
    2,805.91/4,208.67 = 1,557.09/x
  3. Step 3: Cross multiply
    2,805.91x = 4,208.67 × 1,557.09
  4. Step 4: Simplify right side
    2,805.91x = 6,553,297.92
  5. Step 5: Solve for x
    x = 6,553,297.92/2,805.91
  6. Step 6: Final answer
    x = 2,335.53

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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.