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Finding the Fourth Proportional to 2,843.76, 4,268.22 and 1,458.08

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Solution

The fourth proportional to 2,843.76, 4,268.22 and 1,458.08 is: 2,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.76 : 4,268.22 = 1,458.08 : x
  2. Step 2: Convert to fraction form
    2,843.76/4,268.22 = 1,458.08/x
  3. Step 3: Cross multiply
    2,843.76x = 4,268.22 × 1,458.08
  4. Step 4: Simplify right side
    2,843.76x = 6,223,406.22
  5. Step 5: Solve for x
    x = 6,223,406.22/2,843.76
  6. Step 6: Final answer
    x = 2,188.44

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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.