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Finding the Fourth Proportional to 2,682.49, 4,018.61 and 2,094.74

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Solution

The fourth proportional to 2,682.49, 4,018.61 and 2,094.74 is: 3,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.49 : 4,018.61 = 2,094.74 : x
  2. Step 2: Convert to fraction form
    2,682.49/4,018.61 = 2,094.74/x
  3. Step 3: Cross multiply
    2,682.49x = 4,018.61 × 2,094.74
  4. Step 4: Simplify right side
    2,682.49x = 8,417,932.02
  5. Step 5: Solve for x
    x = 8,417,932.02/2,682.49
  6. Step 6: Final answer
    x = 3,138.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.