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Finding the Fourth Proportional to 1,605.71, 2,199.24 and 1,511.12

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Solution

The fourth proportional to 1,605.71, 2,199.24 and 1,511.12 is: 2,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.71 : 2,199.24 = 1,511.12 : x
  2. Step 2: Convert to fraction form
    1,605.71/2,199.24 = 1,511.12/x
  3. Step 3: Cross multiply
    1,605.71x = 2,199.24 × 1,511.12
  4. Step 4: Simplify right side
    1,605.71x = 3,323,321.05
  5. Step 5: Solve for x
    x = 3,323,321.05/1,605.71
  6. Step 6: Final answer
    x = 2,069.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.