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Finding the Fourth Proportional to 2,801.32, 3,866.09 and 1,682.30

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Solution

The fourth proportional to 2,801.32, 3,866.09 and 1,682.30 is: 2,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.32 : 3,866.09 = 1,682.30 : x
  2. Step 2: Convert to fraction form
    2,801.32/3,866.09 = 1,682.30/x
  3. Step 3: Cross multiply
    2,801.32x = 3,866.09 × 1,682.30
  4. Step 4: Simplify right side
    2,801.32x = 6,503,924.46
  5. Step 5: Solve for x
    x = 6,503,924.46/2,801.32
  6. Step 6: Final answer
    x = 2,321.74

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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.