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Finding the Fourth Proportional to 1,969.49, 2,954.31 and 736.77

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Solution

The fourth proportional to 1,969.49, 2,954.31 and 736.77 is: 1,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.49 : 2,954.31 = 736.77 : x
  2. Step 2: Convert to fraction form
    1,969.49/2,954.31 = 736.77/x
  3. Step 3: Cross multiply
    1,969.49x = 2,954.31 × 736.77
  4. Step 4: Simplify right side
    1,969.49x = 2,176,646.98
  5. Step 5: Solve for x
    x = 2,176,646.98/1,969.49
  6. Step 6: Final answer
    x = 1,105.19

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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.