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Finding the Fourth Proportional to 2,969.63, 4,453.32 and 1,213.70

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Solution

The fourth proportional to 2,969.63, 4,453.32 and 1,213.70 is: 1,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.63 : 4,453.32 = 1,213.70 : x
  2. Step 2: Convert to fraction form
    2,969.63/4,453.32 = 1,213.70/x
  3. Step 3: Cross multiply
    2,969.63x = 4,453.32 × 1,213.70
  4. Step 4: Simplify right side
    2,969.63x = 5,404,976.77
  5. Step 5: Solve for x
    x = 5,404,976.77/2,969.63
  6. Step 6: Final answer
    x = 1,820.09

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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.