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Finding the Fourth Proportional to 2,165.74, 2,989.20 and 1,811.26

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Solution

The fourth proportional to 2,165.74, 2,989.20 and 1,811.26 is: 2,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.74 : 2,989.20 = 1,811.26 : x
  2. Step 2: Convert to fraction form
    2,165.74/2,989.20 = 1,811.26/x
  3. Step 3: Cross multiply
    2,165.74x = 2,989.20 × 1,811.26
  4. Step 4: Simplify right side
    2,165.74x = 5,414,218.39
  5. Step 5: Solve for x
    x = 5,414,218.39/2,165.74
  6. Step 6: Final answer
    x = 2,499.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.