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Finding the Fourth Proportional to 2,538.70, 3,500.23 and 1,941.94

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Solution

The fourth proportional to 2,538.70, 3,500.23 and 1,941.94 is: 2,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.70 : 3,500.23 = 1,941.94 : x
  2. Step 2: Convert to fraction form
    2,538.70/3,500.23 = 1,941.94/x
  3. Step 3: Cross multiply
    2,538.70x = 3,500.23 × 1,941.94
  4. Step 4: Simplify right side
    2,538.70x = 6,797,236.65
  5. Step 5: Solve for x
    x = 6,797,236.65/2,538.70
  6. Step 6: Final answer
    x = 2,677.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.