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Finding the Fourth Proportional to 2,094.96, 3,144.24 and 999.60

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Solution

The fourth proportional to 2,094.96, 3,144.24 and 999.60 is: 1,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.96 : 3,144.24 = 999.60 : x
  2. Step 2: Convert to fraction form
    2,094.96/3,144.24 = 999.60/x
  3. Step 3: Cross multiply
    2,094.96x = 3,144.24 × 999.60
  4. Step 4: Simplify right side
    2,094.96x = 3,142,982.30
  5. Step 5: Solve for x
    x = 3,142,982.30/2,094.96
  6. Step 6: Final answer
    x = 1,500.26

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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.