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Finding the Fourth Proportional to 1,973.00, 2,723.20 and 1,227.53

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Solution

The fourth proportional to 1,973.00, 2,723.20 and 1,227.53 is: 1,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.00 : 2,723.20 = 1,227.53 : x
  2. Step 2: Convert to fraction form
    1,973.00/2,723.20 = 1,227.53/x
  3. Step 3: Cross multiply
    1,973.00x = 2,723.20 × 1,227.53
  4. Step 4: Simplify right side
    1,973.00x = 3,342,813.44
  5. Step 5: Solve for x
    x = 3,342,813.44/1,973.00
  6. Step 6: Final answer
    x = 1,694.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.