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Finding the Fourth Proportional to 2,470.14, 3,700.34 and 2,008.44

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Solution

The fourth proportional to 2,470.14, 3,700.34 and 2,008.44 is: 3,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.14 : 3,700.34 = 2,008.44 : x
  2. Step 2: Convert to fraction form
    2,470.14/3,700.34 = 2,008.44/x
  3. Step 3: Cross multiply
    2,470.14x = 3,700.34 × 2,008.44
  4. Step 4: Simplify right side
    2,470.14x = 7,431,910.87
  5. Step 5: Solve for x
    x = 7,431,910.87/2,470.14
  6. Step 6: Final answer
    x = 3,008.70

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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.