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Finding the Fourth Proportional to 2,825.68, 3,898.92 and 1,832.08

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Solution

The fourth proportional to 2,825.68, 3,898.92 and 1,832.08 is: 2,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.68 : 3,898.92 = 1,832.08 : x
  2. Step 2: Convert to fraction form
    2,825.68/3,898.92 = 1,832.08/x
  3. Step 3: Cross multiply
    2,825.68x = 3,898.92 × 1,832.08
  4. Step 4: Simplify right side
    2,825.68x = 7,143,133.35
  5. Step 5: Solve for x
    x = 7,143,133.35/2,825.68
  6. Step 6: Final answer
    x = 2,527.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.