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Finding the Fourth Proportional to 2,273.86, 3,406.40 and 1,690.24

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Solution

The fourth proportional to 2,273.86, 3,406.40 and 1,690.24 is: 2,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.86 : 3,406.40 = 1,690.24 : x
  2. Step 2: Convert to fraction form
    2,273.86/3,406.40 = 1,690.24/x
  3. Step 3: Cross multiply
    2,273.86x = 3,406.40 × 1,690.24
  4. Step 4: Simplify right side
    2,273.86x = 5,757,633.54
  5. Step 5: Solve for x
    x = 5,757,633.54/2,273.86
  6. Step 6: Final answer
    x = 2,532.10

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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.