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Finding the Fourth Proportional to 2,910.78, 4,013.78 and 2,163.51

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Solution

The fourth proportional to 2,910.78, 4,013.78 and 2,163.51 is: 2,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.78 : 4,013.78 = 2,163.51 : x
  2. Step 2: Convert to fraction form
    2,910.78/4,013.78 = 2,163.51/x
  3. Step 3: Cross multiply
    2,910.78x = 4,013.78 × 2,163.51
  4. Step 4: Simplify right side
    2,910.78x = 8,683,842.35
  5. Step 5: Solve for x
    x = 8,683,842.35/2,910.78
  6. Step 6: Final answer
    x = 2,983.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.