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Finding the Fourth Proportional to 2,969.72, 4,454.56 and 2,321

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Solution

The fourth proportional to 2,969.72, 4,454.56 and 2,321 is: 3,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.72 : 4,454.56 = 2,321 : x
  2. Step 2: Convert to fraction form
    2,969.72/4,454.56 = 2,321/x
  3. Step 3: Cross multiply
    2,969.72x = 4,454.56 × 2,321
  4. Step 4: Simplify right side
    2,969.72x = 10,339,033.76
  5. Step 5: Solve for x
    x = 10,339,033.76/2,969.72
  6. Step 6: Final answer
    x = 3,481.48

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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.