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Finding the Fourth Proportional to 2,843.64, 3,924.32 and 1,584.70

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Solution

The fourth proportional to 2,843.64, 3,924.32 and 1,584.70 is: 2,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.64 : 3,924.32 = 1,584.70 : x
  2. Step 2: Convert to fraction form
    2,843.64/3,924.32 = 1,584.70/x
  3. Step 3: Cross multiply
    2,843.64x = 3,924.32 × 1,584.70
  4. Step 4: Simplify right side
    2,843.64x = 6,218,852.17
  5. Step 5: Solve for x
    x = 6,218,852.17/2,843.64
  6. Step 6: Final answer
    x = 2,186.93

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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.