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Finding the Fourth Proportional to 2,662.07, 3,674.11 and 2,031.41

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Solution

The fourth proportional to 2,662.07, 3,674.11 and 2,031.41 is: 2,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.07 : 3,674.11 = 2,031.41 : x
  2. Step 2: Convert to fraction form
    2,662.07/3,674.11 = 2,031.41/x
  3. Step 3: Cross multiply
    2,662.07x = 3,674.11 × 2,031.41
  4. Step 4: Simplify right side
    2,662.07x = 7,463,600.35
  5. Step 5: Solve for x
    x = 7,463,600.35/2,662.07
  6. Step 6: Final answer
    x = 2,803.68

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