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Finding the Fourth Proportional to 2,851.92, 4,269.36 and 2,124.48

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Solution

The fourth proportional to 2,851.92, 4,269.36 and 2,124.48 is: 3,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.92 : 4,269.36 = 2,124.48 : x
  2. Step 2: Convert to fraction form
    2,851.92/4,269.36 = 2,124.48/x
  3. Step 3: Cross multiply
    2,851.92x = 4,269.36 × 2,124.48
  4. Step 4: Simplify right side
    2,851.92x = 9,070,169.93
  5. Step 5: Solve for x
    x = 9,070,169.93/2,851.92
  6. Step 6: Final answer
    x = 3,180.37

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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.