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Finding the Fourth Proportional to 2,674.17, 3,690.57 and 1,540.20

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Solution

The fourth proportional to 2,674.17, 3,690.57 and 1,540.20 is: 2,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.17 : 3,690.57 = 1,540.20 : x
  2. Step 2: Convert to fraction form
    2,674.17/3,690.57 = 1,540.20/x
  3. Step 3: Cross multiply
    2,674.17x = 3,690.57 × 1,540.20
  4. Step 4: Simplify right side
    2,674.17x = 5,684,215.91
  5. Step 5: Solve for x
    x = 5,684,215.91/2,674.17
  6. Step 6: Final answer
    x = 2,125.60

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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.