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Finding the Fourth Proportional to 2,082.72, 3,123.96 and 543.72

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Solution

The fourth proportional to 2,082.72, 3,123.96 and 543.72 is: 815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.72 : 3,123.96 = 543.72 : x
  2. Step 2: Convert to fraction form
    2,082.72/3,123.96 = 543.72/x
  3. Step 3: Cross multiply
    2,082.72x = 3,123.96 × 543.72
  4. Step 4: Simplify right side
    2,082.72x = 1,698,559.53
  5. Step 5: Solve for x
    x = 1,698,559.53/2,082.72
  6. Step 6: Final answer
    x = 815.55

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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.