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Finding the Fourth Proportional to 2,505.97, 3,459.63 and 1,511.50

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Solution

The fourth proportional to 2,505.97, 3,459.63 and 1,511.50 is: 2,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.97 : 3,459.63 = 1,511.50 : x
  2. Step 2: Convert to fraction form
    2,505.97/3,459.63 = 1,511.50/x
  3. Step 3: Cross multiply
    2,505.97x = 3,459.63 × 1,511.50
  4. Step 4: Simplify right side
    2,505.97x = 5,229,230.75
  5. Step 5: Solve for x
    x = 5,229,230.75/2,505.97
  6. Step 6: Final answer
    x = 2,086.71

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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.