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Finding the Fourth Proportional to 2,789.82, 4,175.01 and 2,355.66

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Solution

The fourth proportional to 2,789.82, 4,175.01 and 2,355.66 is: 3,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.82 : 4,175.01 = 2,355.66 : x
  2. Step 2: Convert to fraction form
    2,789.82/4,175.01 = 2,355.66/x
  3. Step 3: Cross multiply
    2,789.82x = 4,175.01 × 2,355.66
  4. Step 4: Simplify right side
    2,789.82x = 9,834,904.06
  5. Step 5: Solve for x
    x = 9,834,904.06/2,789.82
  6. Step 6: Final answer
    x = 3,525.28

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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.