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Finding the Fourth Proportional to 2,227.51, 3,074 and 1,232.79

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Solution

The fourth proportional to 2,227.51, 3,074 and 1,232.79 is: 1,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.51 : 3,074 = 1,232.79 : x
  2. Step 2: Convert to fraction form
    2,227.51/3,074 = 1,232.79/x
  3. Step 3: Cross multiply
    2,227.51x = 3,074 × 1,232.79
  4. Step 4: Simplify right side
    2,227.51x = 3,789,596.46
  5. Step 5: Solve for x
    x = 3,789,596.46/2,227.51
  6. Step 6: Final answer
    x = 1,701.27

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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.