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Finding the Fourth Proportional to 1,974.87, 2,960.47 and 743.08

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Solution

The fourth proportional to 1,974.87, 2,960.47 and 743.08 is: 1,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.87 : 2,960.47 = 743.08 : x
  2. Step 2: Convert to fraction form
    1,974.87/2,960.47 = 743.08/x
  3. Step 3: Cross multiply
    1,974.87x = 2,960.47 × 743.08
  4. Step 4: Simplify right side
    1,974.87x = 2,199,866.05
  5. Step 5: Solve for x
    x = 2,199,866.05/1,974.87
  6. Step 6: Final answer
    x = 1,113.93

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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.