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Finding the Fourth Proportional to 2,801.64, 4,201.07 and 1,632.05

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Solution

The fourth proportional to 2,801.64, 4,201.07 and 1,632.05 is: 2,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.64 : 4,201.07 = 1,632.05 : x
  2. Step 2: Convert to fraction form
    2,801.64/4,201.07 = 1,632.05/x
  3. Step 3: Cross multiply
    2,801.64x = 4,201.07 × 1,632.05
  4. Step 4: Simplify right side
    2,801.64x = 6,856,342.88
  5. Step 5: Solve for x
    x = 6,856,342.88/2,801.64
  6. Step 6: Final answer
    x = 2,447.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.