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Finding the Fourth Proportional to 2,274.74, 3,405.93 and 1,994.52

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Solution

The fourth proportional to 2,274.74, 3,405.93 and 1,994.52 is: 2,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.74 : 3,405.93 = 1,994.52 : x
  2. Step 2: Convert to fraction form
    2,274.74/3,405.93 = 1,994.52/x
  3. Step 3: Cross multiply
    2,274.74x = 3,405.93 × 1,994.52
  4. Step 4: Simplify right side
    2,274.74x = 6,793,195.50
  5. Step 5: Solve for x
    x = 6,793,195.50/2,274.74
  6. Step 6: Final answer
    x = 2,986.37

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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.