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Finding the Fourth Proportional to 2,138.06, 2,950.58 and 1,193.81

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Solution

The fourth proportional to 2,138.06, 2,950.58 and 1,193.81 is: 1,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 2,950.58 = 1,193.81 : x
  2. Step 2: Convert to fraction form
    2,138.06/2,950.58 = 1,193.81/x
  3. Step 3: Cross multiply
    2,138.06x = 2,950.58 × 1,193.81
  4. Step 4: Simplify right side
    2,138.06x = 3,522,425.94
  5. Step 5: Solve for x
    x = 3,522,425.94/2,138.06
  6. Step 6: Final answer
    x = 1,647.49

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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.