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Finding the Fourth Proportional to 2,008.80, 2,992.14 and 1,914.03

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Solution

The fourth proportional to 2,008.80, 2,992.14 and 1,914.03 is: 2,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.80 : 2,992.14 = 1,914.03 : x
  2. Step 2: Convert to fraction form
    2,008.80/2,992.14 = 1,914.03/x
  3. Step 3: Cross multiply
    2,008.80x = 2,992.14 × 1,914.03
  4. Step 4: Simplify right side
    2,008.80x = 5,727,045.72
  5. Step 5: Solve for x
    x = 5,727,045.72/2,008.80
  6. Step 6: Final answer
    x = 2,850.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.