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Finding the Fourth Proportional to 2,896.82, 4,346.16 and 1,726.58

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Solution

The fourth proportional to 2,896.82, 4,346.16 and 1,726.58 is: 2,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.82 : 4,346.16 = 1,726.58 : x
  2. Step 2: Convert to fraction form
    2,896.82/4,346.16 = 1,726.58/x
  3. Step 3: Cross multiply
    2,896.82x = 4,346.16 × 1,726.58
  4. Step 4: Simplify right side
    2,896.82x = 7,503,992.93
  5. Step 5: Solve for x
    x = 7,503,992.93/2,896.82
  6. Step 6: Final answer
    x = 2,590.42

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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.