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Finding the Fourth Proportional to 2,165.44, 3,242.48 and 1,669.72

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Solution

The fourth proportional to 2,165.44, 3,242.48 and 1,669.72 is: 2,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.44 : 3,242.48 = 1,669.72 : x
  2. Step 2: Convert to fraction form
    2,165.44/3,242.48 = 1,669.72/x
  3. Step 3: Cross multiply
    2,165.44x = 3,242.48 × 1,669.72
  4. Step 4: Simplify right side
    2,165.44x = 5,414,033.71
  5. Step 5: Solve for x
    x = 5,414,033.71/2,165.44
  6. Step 6: Final answer
    x = 2,500.20

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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.