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Finding the Fourth Proportional to 2,019.66, 3,032.19 and 1,954.05

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Solution

The fourth proportional to 2,019.66, 3,032.19 and 1,954.05 is: 2,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.66 : 3,032.19 = 1,954.05 : x
  2. Step 2: Convert to fraction form
    2,019.66/3,032.19 = 1,954.05/x
  3. Step 3: Cross multiply
    2,019.66x = 3,032.19 × 1,954.05
  4. Step 4: Simplify right side
    2,019.66x = 5,925,050.87
  5. Step 5: Solve for x
    x = 5,925,050.87/2,019.66
  6. Step 6: Final answer
    x = 2,933.69

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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.