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Finding the Fourth Proportional to 3,114.93, 4,669.20 and 2,003.88

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Solution

The fourth proportional to 3,114.93, 4,669.20 and 2,003.88 is: 3,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.93 : 4,669.20 = 2,003.88 : x
  2. Step 2: Convert to fraction form
    3,114.93/4,669.20 = 2,003.88/x
  3. Step 3: Cross multiply
    3,114.93x = 4,669.20 × 2,003.88
  4. Step 4: Simplify right side
    3,114.93x = 9,356,516.50
  5. Step 5: Solve for x
    x = 9,356,516.50/3,114.93
  6. Step 6: Final answer
    x = 3,003.76

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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.