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Finding the Fourth Proportional to 3,188.39, 4,782.57 and 848.39

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Solution

The fourth proportional to 3,188.39, 4,782.57 and 848.39 is: 1,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.39 : 4,782.57 = 848.39 : x
  2. Step 2: Convert to fraction form
    3,188.39/4,782.57 = 848.39/x
  3. Step 3: Cross multiply
    3,188.39x = 4,782.57 × 848.39
  4. Step 4: Simplify right side
    3,188.39x = 4,057,489.94
  5. Step 5: Solve for x
    x = 4,057,489.94/3,188.39
  6. Step 6: Final answer
    x = 1,272.58

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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.