Home / 2,274.60-3,409.44-1,102.12

Finding the Fourth Proportional to 2,274.60, 3,409.44 and 1,102.12

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Solution

The fourth proportional to 2,274.60, 3,409.44 and 1,102.12 is: 1,651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.60 : 3,409.44 = 1,102.12 : x
  2. Step 2: Convert to fraction form
    2,274.60/3,409.44 = 1,102.12/x
  3. Step 3: Cross multiply
    2,274.60x = 3,409.44 × 1,102.12
  4. Step 4: Simplify right side
    2,274.60x = 3,757,612.01
  5. Step 5: Solve for x
    x = 3,757,612.01/2,274.60
  6. Step 6: Final answer
    x = 1,651.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.