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Finding the Fourth Proportional to 2,825.01, 3,898.33 and 1,659.87

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Solution

The fourth proportional to 2,825.01, 3,898.33 and 1,659.87 is: 2,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.01 : 3,898.33 = 1,659.87 : x
  2. Step 2: Convert to fraction form
    2,825.01/3,898.33 = 1,659.87/x
  3. Step 3: Cross multiply
    2,825.01x = 3,898.33 × 1,659.87
  4. Step 4: Simplify right side
    2,825.01x = 6,470,721.02
  5. Step 5: Solve for x
    x = 6,470,721.02/2,825.01
  6. Step 6: Final answer
    x = 2,290.51

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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.