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Finding the Fourth Proportional to 2,055.06, 3,082.71 and 594.42

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Solution

The fourth proportional to 2,055.06, 3,082.71 and 594.42 is: 891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.06 : 3,082.71 = 594.42 : x
  2. Step 2: Convert to fraction form
    2,055.06/3,082.71 = 594.42/x
  3. Step 3: Cross multiply
    2,055.06x = 3,082.71 × 594.42
  4. Step 4: Simplify right side
    2,055.06x = 1,832,424.48
  5. Step 5: Solve for x
    x = 1,832,424.48/2,055.06
  6. Step 6: Final answer
    x = 891.66

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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.