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Finding the Fourth Proportional to 2,942, 4,410.02 and 1,847.14

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Solution

The fourth proportional to 2,942, 4,410.02 and 1,847.14 is: 2,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942 : 4,410.02 = 1,847.14 : x
  2. Step 2: Convert to fraction form
    2,942/4,410.02 = 1,847.14/x
  3. Step 3: Cross multiply
    2,942x = 4,410.02 × 1,847.14
  4. Step 4: Simplify right side
    2,942x = 8,145,924.34
  5. Step 5: Solve for x
    x = 8,145,924.34/2,942
  6. Step 6: Final answer
    x = 2,768.84

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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.