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Finding the Fourth Proportional to 2,183.63, 3,013.81 and 1,252.13

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Solution

The fourth proportional to 2,183.63, 3,013.81 and 1,252.13 is: 1,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.63 : 3,013.81 = 1,252.13 : x
  2. Step 2: Convert to fraction form
    2,183.63/3,013.81 = 1,252.13/x
  3. Step 3: Cross multiply
    2,183.63x = 3,013.81 × 1,252.13
  4. Step 4: Simplify right side
    2,183.63x = 3,773,663.72
  5. Step 5: Solve for x
    x = 3,773,663.72/2,183.63
  6. Step 6: Final answer
    x = 1,728.16

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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.