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Finding the Fourth Proportional to 2,674.14, 3,690.45 and 1,495.14

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Solution

The fourth proportional to 2,674.14, 3,690.45 and 1,495.14 is: 2,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.14 : 3,690.45 = 1,495.14 : x
  2. Step 2: Convert to fraction form
    2,674.14/3,690.45 = 1,495.14/x
  3. Step 3: Cross multiply
    2,674.14x = 3,690.45 × 1,495.14
  4. Step 4: Simplify right side
    2,674.14x = 5,517,739.41
  5. Step 5: Solve for x
    x = 5,517,739.41/2,674.14
  6. Step 6: Final answer
    x = 2,063.37

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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.