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Finding the Fourth Proportional to 2,862.01, 3,948.25 and 1,682.25

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Solution

The fourth proportional to 2,862.01, 3,948.25 and 1,682.25 is: 2,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.01 : 3,948.25 = 1,682.25 : x
  2. Step 2: Convert to fraction form
    2,862.01/3,948.25 = 1,682.25/x
  3. Step 3: Cross multiply
    2,862.01x = 3,948.25 × 1,682.25
  4. Step 4: Simplify right side
    2,862.01x = 6,641,943.56
  5. Step 5: Solve for x
    x = 6,641,943.56/2,862.01
  6. Step 6: Final answer
    x = 2,320.73

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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.