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Finding the Fourth Proportional to 2,008.26, 2,770.98 and 1,344.24

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Solution

The fourth proportional to 2,008.26, 2,770.98 and 1,344.24 is: 1,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.26 : 2,770.98 = 1,344.24 : x
  2. Step 2: Convert to fraction form
    2,008.26/2,770.98 = 1,344.24/x
  3. Step 3: Cross multiply
    2,008.26x = 2,770.98 × 1,344.24
  4. Step 4: Simplify right side
    2,008.26x = 3,724,862.16
  5. Step 5: Solve for x
    x = 3,724,862.16/2,008.26
  6. Step 6: Final answer
    x = 1,854.77

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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.