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Finding the Fourth Proportional to 2,969.17, 4,453.72 and 1,744.35

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Solution

The fourth proportional to 2,969.17, 4,453.72 and 1,744.35 is: 2,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.17 : 4,453.72 = 1,744.35 : x
  2. Step 2: Convert to fraction form
    2,969.17/4,453.72 = 1,744.35/x
  3. Step 3: Cross multiply
    2,969.17x = 4,453.72 × 1,744.35
  4. Step 4: Simplify right side
    2,969.17x = 7,768,860.28
  5. Step 5: Solve for x
    x = 7,768,860.28/2,969.17
  6. Step 6: Final answer
    x = 2,616.51

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