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Finding the Fourth Proportional to 2,183.76, 3,013.47 and 1,252.26

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Solution

The fourth proportional to 2,183.76, 3,013.47 and 1,252.26 is: 1,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.76 : 3,013.47 = 1,252.26 : x
  2. Step 2: Convert to fraction form
    2,183.76/3,013.47 = 1,252.26/x
  3. Step 3: Cross multiply
    2,183.76x = 3,013.47 × 1,252.26
  4. Step 4: Simplify right side
    2,183.76x = 3,773,647.94
  5. Step 5: Solve for x
    x = 3,773,647.94/2,183.76
  6. Step 6: Final answer
    x = 1,728.05

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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.