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Finding the Fourth Proportional to 2,969.55, 4,454.28 and 1,744.73

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Solution

The fourth proportional to 2,969.55, 4,454.28 and 1,744.73 is: 2,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.55 : 4,454.28 = 1,744.73 : x
  2. Step 2: Convert to fraction form
    2,969.55/4,454.28 = 1,744.73/x
  3. Step 3: Cross multiply
    2,969.55x = 4,454.28 × 1,744.73
  4. Step 4: Simplify right side
    2,969.55x = 7,771,516.92
  5. Step 5: Solve for x
    x = 7,771,516.92/2,969.55
  6. Step 6: Final answer
    x = 2,617.07

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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.