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Finding the Fourth Proportional to 2,032.72, 3,054.84 and 1,211.20

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Solution

The fourth proportional to 2,032.72, 3,054.84 and 1,211.20 is: 1,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.72 : 3,054.84 = 1,211.20 : x
  2. Step 2: Convert to fraction form
    2,032.72/3,054.84 = 1,211.20/x
  3. Step 3: Cross multiply
    2,032.72x = 3,054.84 × 1,211.20
  4. Step 4: Simplify right side
    2,032.72x = 3,700,022.21
  5. Step 5: Solve for x
    x = 3,700,022.21/2,032.72
  6. Step 6: Final answer
    x = 1,820.23

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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.