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Finding the Fourth Proportional to 2,203.56, 3,307.23 and 1,474.02

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Solution

The fourth proportional to 2,203.56, 3,307.23 and 1,474.02 is: 2,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.56 : 3,307.23 = 1,474.02 : x
  2. Step 2: Convert to fraction form
    2,203.56/3,307.23 = 1,474.02/x
  3. Step 3: Cross multiply
    2,203.56x = 3,307.23 × 1,474.02
  4. Step 4: Simplify right side
    2,203.56x = 4,874,923.16
  5. Step 5: Solve for x
    x = 4,874,923.16/2,203.56
  6. Step 6: Final answer
    x = 2,212.29

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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.