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Finding the Fourth Proportional to 2,516.41, 3,770.55 and 1,539.55

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Solution

The fourth proportional to 2,516.41, 3,770.55 and 1,539.55 is: 2,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.41 : 3,770.55 = 1,539.55 : x
  2. Step 2: Convert to fraction form
    2,516.41/3,770.55 = 1,539.55/x
  3. Step 3: Cross multiply
    2,516.41x = 3,770.55 × 1,539.55
  4. Step 4: Simplify right side
    2,516.41x = 5,804,950.25
  5. Step 5: Solve for x
    x = 5,804,950.25/2,516.41
  6. Step 6: Final answer
    x = 2,306.84

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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.