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Finding the Fourth Proportional to 2,107.35, 3,157.18 and 1,778.42

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Solution

The fourth proportional to 2,107.35, 3,157.18 and 1,778.42 is: 2,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.35 : 3,157.18 = 1,778.42 : x
  2. Step 2: Convert to fraction form
    2,107.35/3,157.18 = 1,778.42/x
  3. Step 3: Cross multiply
    2,107.35x = 3,157.18 × 1,778.42
  4. Step 4: Simplify right side
    2,107.35x = 5,614,795.50
  5. Step 5: Solve for x
    x = 5,614,795.50/2,107.35
  6. Step 6: Final answer
    x = 2,664.39

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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.