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Finding the Fourth Proportional to 3,192.09, 4,788.75 and 1,000.23

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Solution

The fourth proportional to 3,192.09, 4,788.75 and 1,000.23 is: 1,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.09 : 4,788.75 = 1,000.23 : x
  2. Step 2: Convert to fraction form
    3,192.09/4,788.75 = 1,000.23/x
  3. Step 3: Cross multiply
    3,192.09x = 4,788.75 × 1,000.23
  4. Step 4: Simplify right side
    3,192.09x = 4,789,851.41
  5. Step 5: Solve for x
    x = 4,789,851.41/3,192.09
  6. Step 6: Final answer
    x = 1,500.54

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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.