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Finding the Fourth Proportional to 2,999.83, 4,138.93 and 1,937.64

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Solution

The fourth proportional to 2,999.83, 4,138.93 and 1,937.64 is: 2,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.83 : 4,138.93 = 1,937.64 : x
  2. Step 2: Convert to fraction form
    2,999.83/4,138.93 = 1,937.64/x
  3. Step 3: Cross multiply
    2,999.83x = 4,138.93 × 1,937.64
  4. Step 4: Simplify right side
    2,999.83x = 8,019,756.33
  5. Step 5: Solve for x
    x = 8,019,756.33/2,999.83
  6. Step 6: Final answer
    x = 2,673.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.