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Finding the Fourth Proportional to 2,314.55, 3,193.81 and 1,843.65

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Solution

The fourth proportional to 2,314.55, 3,193.81 and 1,843.65 is: 2,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.55 : 3,193.81 = 1,843.65 : x
  2. Step 2: Convert to fraction form
    2,314.55/3,193.81 = 1,843.65/x
  3. Step 3: Cross multiply
    2,314.55x = 3,193.81 × 1,843.65
  4. Step 4: Simplify right side
    2,314.55x = 5,888,263.20
  5. Step 5: Solve for x
    x = 5,888,263.20/2,314.55
  6. Step 6: Final answer
    x = 2,544.02

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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.