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Finding the Fourth Proportional to 2,183.76, 3,275.88 and 1,259.16

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Solution

The fourth proportional to 2,183.76, 3,275.88 and 1,259.16 is: 1,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.76 : 3,275.88 = 1,259.16 : x
  2. Step 2: Convert to fraction form
    2,183.76/3,275.88 = 1,259.16/x
  3. Step 3: Cross multiply
    2,183.76x = 3,275.88 × 1,259.16
  4. Step 4: Simplify right side
    2,183.76x = 4,124,857.06
  5. Step 5: Solve for x
    x = 4,124,857.06/2,183.76
  6. Step 6: Final answer
    x = 1,888.88

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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.