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Finding the Fourth Proportional to 3,283.93, 4,926.90 and 1,969.14

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Solution

The fourth proportional to 3,283.93, 4,926.90 and 1,969.14 is: 2,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.93 : 4,926.90 = 1,969.14 : x
  2. Step 2: Convert to fraction form
    3,283.93/4,926.90 = 1,969.14/x
  3. Step 3: Cross multiply
    3,283.93x = 4,926.90 × 1,969.14
  4. Step 4: Simplify right side
    3,283.93x = 9,701,755.87
  5. Step 5: Solve for x
    x = 9,701,755.87/3,283.93
  6. Step 6: Final answer
    x = 2,954.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.