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Finding the Fourth Proportional to 2,578.05, 3,883.50 and 2,353.88

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Solution

The fourth proportional to 2,578.05, 3,883.50 and 2,353.88 is: 3,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.05 : 3,883.50 = 2,353.88 : x
  2. Step 2: Convert to fraction form
    2,578.05/3,883.50 = 2,353.88/x
  3. Step 3: Cross multiply
    2,578.05x = 3,883.50 × 2,353.88
  4. Step 4: Simplify right side
    2,578.05x = 9,141,302.69
  5. Step 5: Solve for x
    x = 9,141,302.69/2,578.05
  6. Step 6: Final answer
    x = 3,545.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.