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Finding the Fourth Proportional to 2,821.70, 3,893.42 and 1,643.16

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Solution

The fourth proportional to 2,821.70, 3,893.42 and 1,643.16 is: 2,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.70 : 3,893.42 = 1,643.16 : x
  2. Step 2: Convert to fraction form
    2,821.70/3,893.42 = 1,643.16/x
  3. Step 3: Cross multiply
    2,821.70x = 3,893.42 × 1,643.16
  4. Step 4: Simplify right side
    2,821.70x = 6,397,512.01
  5. Step 5: Solve for x
    x = 6,397,512.01/2,821.70
  6. Step 6: Final answer
    x = 2,267.25

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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.