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Finding the Fourth Proportional to 2,817.77, 3,887.82 and 1,638.14

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Solution

The fourth proportional to 2,817.77, 3,887.82 and 1,638.14 is: 2,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.77 : 3,887.82 = 1,638.14 : x
  2. Step 2: Convert to fraction form
    2,817.77/3,887.82 = 1,638.14/x
  3. Step 3: Cross multiply
    2,817.77x = 3,887.82 × 1,638.14
  4. Step 4: Simplify right side
    2,817.77x = 6,368,774.02
  5. Step 5: Solve for x
    x = 6,368,774.02/2,817.77
  6. Step 6: Final answer
    x = 2,260.22

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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.