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Finding the Fourth Proportional to 2,055.23, 3,082.94 and 574.55

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Solution

The fourth proportional to 2,055.23, 3,082.94 and 574.55 is: 861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.23 : 3,082.94 = 574.55 : x
  2. Step 2: Convert to fraction form
    2,055.23/3,082.94 = 574.55/x
  3. Step 3: Cross multiply
    2,055.23x = 3,082.94 × 574.55
  4. Step 4: Simplify right side
    2,055.23x = 1,771,303.18
  5. Step 5: Solve for x
    x = 1,771,303.18/2,055.23
  6. Step 6: Final answer
    x = 861.85

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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.