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Finding the Fourth Proportional to 1,943.30, 2,908.10 and 1,213.22

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Solution

The fourth proportional to 1,943.30, 2,908.10 and 1,213.22 is: 1,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.30 : 2,908.10 = 1,213.22 : x
  2. Step 2: Convert to fraction form
    1,943.30/2,908.10 = 1,213.22/x
  3. Step 3: Cross multiply
    1,943.30x = 2,908.10 × 1,213.22
  4. Step 4: Simplify right side
    1,943.30x = 3,528,165.08
  5. Step 5: Solve for x
    x = 3,528,165.08/1,943.30
  6. Step 6: Final answer
    x = 1,815.55

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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.