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Finding the Fourth Proportional to 2,055.30, 3,082.22 and 594.06

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Solution

The fourth proportional to 2,055.30, 3,082.22 and 594.06 is: 890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.30 : 3,082.22 = 594.06 : x
  2. Step 2: Convert to fraction form
    2,055.30/3,082.22 = 594.06/x
  3. Step 3: Cross multiply
    2,055.30x = 3,082.22 × 594.06
  4. Step 4: Simplify right side
    2,055.30x = 1,831,023.61
  5. Step 5: Solve for x
    x = 1,831,023.61/2,055.30
  6. Step 6: Final answer
    x = 890.88

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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.