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Finding the Fourth Proportional to 3,101.93, 4,647.36 and 1,637.81

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Solution

The fourth proportional to 3,101.93, 4,647.36 and 1,637.81 is: 2,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.93 : 4,647.36 = 1,637.81 : x
  2. Step 2: Convert to fraction form
    3,101.93/4,647.36 = 1,637.81/x
  3. Step 3: Cross multiply
    3,101.93x = 4,647.36 × 1,637.81
  4. Step 4: Simplify right side
    3,101.93x = 7,611,492.68
  5. Step 5: Solve for x
    x = 7,611,492.68/3,101.93
  6. Step 6: Final answer
    x = 2,453.79

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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.