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Finding the Fourth Proportional to 2,801.29, 3,867.33 and 1,682.50

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Solution

The fourth proportional to 2,801.29, 3,867.33 and 1,682.50 is: 2,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.29 : 3,867.33 = 1,682.50 : x
  2. Step 2: Convert to fraction form
    2,801.29/3,867.33 = 1,682.50/x
  3. Step 3: Cross multiply
    2,801.29x = 3,867.33 × 1,682.50
  4. Step 4: Simplify right side
    2,801.29x = 6,506,782.73
  5. Step 5: Solve for x
    x = 6,506,782.73/2,801.29
  6. Step 6: Final answer
    x = 2,322.78

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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.