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Finding the Fourth Proportional to 1,969.57, 2,953.41 and 736.98

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Solution

The fourth proportional to 1,969.57, 2,953.41 and 736.98 is: 1,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.57 : 2,953.41 = 736.98 : x
  2. Step 2: Convert to fraction form
    1,969.57/2,953.41 = 736.98/x
  3. Step 3: Cross multiply
    1,969.57x = 2,953.41 × 736.98
  4. Step 4: Simplify right side
    1,969.57x = 2,176,604.10
  5. Step 5: Solve for x
    x = 2,176,604.10/1,969.57
  6. Step 6: Final answer
    x = 1,105.12

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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.