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Finding the Fourth Proportional to 2,092.16, 2,887.23 and 1,147.99

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Solution

The fourth proportional to 2,092.16, 2,887.23 and 1,147.99 is: 1,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.16 : 2,887.23 = 1,147.99 : x
  2. Step 2: Convert to fraction form
    2,092.16/2,887.23 = 1,147.99/x
  3. Step 3: Cross multiply
    2,092.16x = 2,887.23 × 1,147.99
  4. Step 4: Simplify right side
    2,092.16x = 3,314,511.17
  5. Step 5: Solve for x
    x = 3,314,511.17/2,092.16
  6. Step 6: Final answer
    x = 1,584.25

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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.