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Finding the Fourth Proportional to 1,902.92, 2,858.16 and 1,173.92

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Solution

The fourth proportional to 1,902.92, 2,858.16 and 1,173.92 is: 1,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.92 : 2,858.16 = 1,173.92 : x
  2. Step 2: Convert to fraction form
    1,902.92/2,858.16 = 1,173.92/x
  3. Step 3: Cross multiply
    1,902.92x = 2,858.16 × 1,173.92
  4. Step 4: Simplify right side
    1,902.92x = 3,355,251.19
  5. Step 5: Solve for x
    x = 3,355,251.19/1,902.92
  6. Step 6: Final answer
    x = 1,763.21

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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.