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Finding the Fourth Proportional to 2,849.56, 4,274.52 and 1,205.89

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Solution

The fourth proportional to 2,849.56, 4,274.52 and 1,205.89 is: 1,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.56 : 4,274.52 = 1,205.89 : x
  2. Step 2: Convert to fraction form
    2,849.56/4,274.52 = 1,205.89/x
  3. Step 3: Cross multiply
    2,849.56x = 4,274.52 × 1,205.89
  4. Step 4: Simplify right side
    2,849.56x = 5,154,600.92
  5. Step 5: Solve for x
    x = 5,154,600.92/2,849.56
  6. Step 6: Final answer
    x = 1,808.91

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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.