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Finding the Fourth Proportional to 2,674.35, 3,685.05 and 2,274.62

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Solution

The fourth proportional to 2,674.35, 3,685.05 and 2,274.62 is: 3,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.35 : 3,685.05 = 2,274.62 : x
  2. Step 2: Convert to fraction form
    2,674.35/3,685.05 = 2,274.62/x
  3. Step 3: Cross multiply
    2,674.35x = 3,685.05 × 2,274.62
  4. Step 4: Simplify right side
    2,674.35x = 8,382,070.01
  5. Step 5: Solve for x
    x = 8,382,070.01/2,674.35
  6. Step 6: Final answer
    x = 3,134.25

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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.