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Finding the Fourth Proportional to 2,054.57, 2,836.82 and 1,611.70

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Solution

The fourth proportional to 2,054.57, 2,836.82 and 1,611.70 is: 2,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.57 : 2,836.82 = 1,611.70 : x
  2. Step 2: Convert to fraction form
    2,054.57/2,836.82 = 1,611.70/x
  3. Step 3: Cross multiply
    2,054.57x = 2,836.82 × 1,611.70
  4. Step 4: Simplify right side
    2,054.57x = 4,572,099.73
  5. Step 5: Solve for x
    x = 4,572,099.73/2,054.57
  6. Step 6: Final answer
    x = 2,225.34

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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.