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Finding the Fourth Proportional to 2,015.61, 2,782.83 and 1,643.49

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Solution

The fourth proportional to 2,015.61, 2,782.83 and 1,643.49 is: 2,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.61 : 2,782.83 = 1,643.49 : x
  2. Step 2: Convert to fraction form
    2,015.61/2,782.83 = 1,643.49/x
  3. Step 3: Cross multiply
    2,015.61x = 2,782.83 × 1,643.49
  4. Step 4: Simplify right side
    2,015.61x = 4,573,553.28
  5. Step 5: Solve for x
    x = 4,573,553.28/2,015.61
  6. Step 6: Final answer
    x = 2,269.07

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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.