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Finding the Fourth Proportional to 2,073.78, 3,092.67 and 1,964.43

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Solution

The fourth proportional to 2,073.78, 3,092.67 and 1,964.43 is: 2,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.78 : 3,092.67 = 1,964.43 : x
  2. Step 2: Convert to fraction form
    2,073.78/3,092.67 = 1,964.43/x
  3. Step 3: Cross multiply
    2,073.78x = 3,092.67 × 1,964.43
  4. Step 4: Simplify right side
    2,073.78x = 6,075,333.73
  5. Step 5: Solve for x
    x = 6,075,333.73/2,073.78
  6. Step 6: Final answer
    x = 2,929.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.