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Finding the Fourth Proportional to 2,093.83, 3,139.12 and 1,214.98

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Solution

The fourth proportional to 2,093.83, 3,139.12 and 1,214.98 is: 1,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.83 : 3,139.12 = 1,214.98 : x
  2. Step 2: Convert to fraction form
    2,093.83/3,139.12 = 1,214.98/x
  3. Step 3: Cross multiply
    2,093.83x = 3,139.12 × 1,214.98
  4. Step 4: Simplify right side
    2,093.83x = 3,813,968.02
  5. Step 5: Solve for x
    x = 3,813,968.02/2,093.83
  6. Step 6: Final answer
    x = 1,821.53

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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.