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Finding the Fourth Proportional to 2,063.83, 3,092.93 and 1,138

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Solution

The fourth proportional to 2,063.83, 3,092.93 and 1,138 is: 1,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.83 : 3,092.93 = 1,138 : x
  2. Step 2: Convert to fraction form
    2,063.83/3,092.93 = 1,138/x
  3. Step 3: Cross multiply
    2,063.83x = 3,092.93 × 1,138
  4. Step 4: Simplify right side
    2,063.83x = 3,519,754.34
  5. Step 5: Solve for x
    x = 3,519,754.34/2,063.83
  6. Step 6: Final answer
    x = 1,705.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.