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Finding the Fourth Proportional to 3,192.64, 4,788.58 and 852.82

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Solution

The fourth proportional to 3,192.64, 4,788.58 and 852.82 is: 1,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.64 : 4,788.58 = 852.82 : x
  2. Step 2: Convert to fraction form
    3,192.64/4,788.58 = 852.82/x
  3. Step 3: Cross multiply
    3,192.64x = 4,788.58 × 852.82
  4. Step 4: Simplify right side
    3,192.64x = 4,083,796.80
  5. Step 5: Solve for x
    x = 4,083,796.80/3,192.64
  6. Step 6: Final answer
    x = 1,279.13

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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.