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Finding the Fourth Proportional to 2,566.24, 3,849.08 and 834.72

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Solution

The fourth proportional to 2,566.24, 3,849.08 and 834.72 is: 1,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.24 : 3,849.08 = 834.72 : x
  2. Step 2: Convert to fraction form
    2,566.24/3,849.08 = 834.72/x
  3. Step 3: Cross multiply
    2,566.24x = 3,849.08 × 834.72
  4. Step 4: Simplify right side
    2,566.24x = 3,212,904.06
  5. Step 5: Solve for x
    x = 3,212,904.06/2,566.24
  6. Step 6: Final answer
    x = 1,251.99

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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.