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Finding the Fourth Proportional to 2,367.72, 3,549 and 2,094.48

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Solution

The fourth proportional to 2,367.72, 3,549 and 2,094.48 is: 3,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.72 : 3,549 = 2,094.48 : x
  2. Step 2: Convert to fraction form
    2,367.72/3,549 = 2,094.48/x
  3. Step 3: Cross multiply
    2,367.72x = 3,549 × 2,094.48
  4. Step 4: Simplify right side
    2,367.72x = 7,433,309.52
  5. Step 5: Solve for x
    x = 7,433,309.52/2,367.72
  6. Step 6: Final answer
    x = 3,139.44

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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.