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Finding the Fourth Proportional to 2,165.60, 3,241.12 and 1,801.12

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Solution

The fourth proportional to 2,165.60, 3,241.12 and 1,801.12 is: 2,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.60 : 3,241.12 = 1,801.12 : x
  2. Step 2: Convert to fraction form
    2,165.60/3,241.12 = 1,801.12/x
  3. Step 3: Cross multiply
    2,165.60x = 3,241.12 × 1,801.12
  4. Step 4: Simplify right side
    2,165.60x = 5,837,646.05
  5. Step 5: Solve for x
    x = 5,837,646.05/2,165.60
  6. Step 6: Final answer
    x = 2,695.63

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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.