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Finding the Fourth Proportional to 2,165.64, 3,252.37 and 1,991.99

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Solution

The fourth proportional to 2,165.64, 3,252.37 and 1,991.99 is: 2,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.64 : 3,252.37 = 1,991.99 : x
  2. Step 2: Convert to fraction form
    2,165.64/3,252.37 = 1,991.99/x
  3. Step 3: Cross multiply
    2,165.64x = 3,252.37 × 1,991.99
  4. Step 4: Simplify right side
    2,165.64x = 6,478,688.52
  5. Step 5: Solve for x
    x = 6,478,688.52/2,165.64
  6. Step 6: Final answer
    x = 2,991.58

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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.