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Finding the Fourth Proportional to 2,849.86, 4,274.24 and 1,207.56

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Solution

The fourth proportional to 2,849.86, 4,274.24 and 1,207.56 is: 1,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.86 : 4,274.24 = 1,207.56 : x
  2. Step 2: Convert to fraction form
    2,849.86/4,274.24 = 1,207.56/x
  3. Step 3: Cross multiply
    2,849.86x = 4,274.24 × 1,207.56
  4. Step 4: Simplify right side
    2,849.86x = 5,161,401.25
  5. Step 5: Solve for x
    x = 5,161,401.25/2,849.86
  6. Step 6: Final answer
    x = 1,811.11

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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.