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Finding the Fourth Proportional to 2,843.68, 3,924.32 and 1,584.76

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Solution

The fourth proportional to 2,843.68, 3,924.32 and 1,584.76 is: 2,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.68 : 3,924.32 = 1,584.76 : x
  2. Step 2: Convert to fraction form
    2,843.68/3,924.32 = 1,584.76/x
  3. Step 3: Cross multiply
    2,843.68x = 3,924.32 × 1,584.76
  4. Step 4: Simplify right side
    2,843.68x = 6,219,105.36
  5. Step 5: Solve for x
    x = 6,219,105.36/2,843.68
  6. Step 6: Final answer
    x = 2,186.99

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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.