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Finding the Fourth Proportional to 2,124.03, 3,185.16 and 1,200.09

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Solution

The fourth proportional to 2,124.03, 3,185.16 and 1,200.09 is: 1,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.03 : 3,185.16 = 1,200.09 : x
  2. Step 2: Convert to fraction form
    2,124.03/3,185.16 = 1,200.09/x
  3. Step 3: Cross multiply
    2,124.03x = 3,185.16 × 1,200.09
  4. Step 4: Simplify right side
    2,124.03x = 3,822,478.66
  5. Step 5: Solve for x
    x = 3,822,478.66/2,124.03
  6. Step 6: Final answer
    x = 1,799.63

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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.