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Finding the Fourth Proportional to 2,008.03, 3,010.89 and 774.40

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Solution

The fourth proportional to 2,008.03, 3,010.89 and 774.40 is: 1,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.03 : 3,010.89 = 774.40 : x
  2. Step 2: Convert to fraction form
    2,008.03/3,010.89 = 774.40/x
  3. Step 3: Cross multiply
    2,008.03x = 3,010.89 × 774.40
  4. Step 4: Simplify right side
    2,008.03x = 2,331,633.22
  5. Step 5: Solve for x
    x = 2,331,633.22/2,008.03
  6. Step 6: Final answer
    x = 1,161.15

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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.