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Finding the Fourth Proportional to 2,087.75, 2,883.24 and 1,806.63

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Solution

The fourth proportional to 2,087.75, 2,883.24 and 1,806.63 is: 2,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.75 : 2,883.24 = 1,806.63 : x
  2. Step 2: Convert to fraction form
    2,087.75/2,883.24 = 1,806.63/x
  3. Step 3: Cross multiply
    2,087.75x = 2,883.24 × 1,806.63
  4. Step 4: Simplify right side
    2,087.75x = 5,208,947.88
  5. Step 5: Solve for x
    x = 5,208,947.88/2,087.75
  6. Step 6: Final answer
    x = 2,495.01

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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.