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Finding the Fourth Proportional to 2,584.29, 3,875.82 and 1,196.31

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Solution

The fourth proportional to 2,584.29, 3,875.82 and 1,196.31 is: 1,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.29 : 3,875.82 = 1,196.31 : x
  2. Step 2: Convert to fraction form
    2,584.29/3,875.82 = 1,196.31/x
  3. Step 3: Cross multiply
    2,584.29x = 3,875.82 × 1,196.31
  4. Step 4: Simplify right side
    2,584.29x = 4,636,682.22
  5. Step 5: Solve for x
    x = 4,636,682.22/2,584.29
  6. Step 6: Final answer
    x = 1,794.18

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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.