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Finding the Fourth Proportional to 2,096.26, 3,142.83 and 1,055.50

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Solution

The fourth proportional to 2,096.26, 3,142.83 and 1,055.50 is: 1,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.26 : 3,142.83 = 1,055.50 : x
  2. Step 2: Convert to fraction form
    2,096.26/3,142.83 = 1,055.50/x
  3. Step 3: Cross multiply
    2,096.26x = 3,142.83 × 1,055.50
  4. Step 4: Simplify right side
    2,096.26x = 3,317,241.35
  5. Step 5: Solve for x
    x = 3,317,241.35/2,096.26
  6. Step 6: Final answer
    x = 1,582.46

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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.