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Finding the Fourth Proportional to 2,825.25, 3,898.85 and 1,721.25

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Solution

The fourth proportional to 2,825.25, 3,898.85 and 1,721.25 is: 2,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.25 : 3,898.85 = 1,721.25 : x
  2. Step 2: Convert to fraction form
    2,825.25/3,898.85 = 1,721.25/x
  3. Step 3: Cross multiply
    2,825.25x = 3,898.85 × 1,721.25
  4. Step 4: Simplify right side
    2,825.25x = 6,710,886.96
  5. Step 5: Solve for x
    x = 6,710,886.96/2,825.25
  6. Step 6: Final answer
    x = 2,375.33

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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.