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Finding the Fourth Proportional to 2,183.96, 3,013.80 and 1,300.16

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Solution

The fourth proportional to 2,183.96, 3,013.80 and 1,300.16 is: 1,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.96 : 3,013.80 = 1,300.16 : x
  2. Step 2: Convert to fraction form
    2,183.96/3,013.80 = 1,300.16/x
  3. Step 3: Cross multiply
    2,183.96x = 3,013.80 × 1,300.16
  4. Step 4: Simplify right side
    2,183.96x = 3,918,422.21
  5. Step 5: Solve for x
    x = 3,918,422.21/2,183.96
  6. Step 6: Final answer
    x = 1,794.18

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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.