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Finding the Fourth Proportional to 2,556.76, 3,535.23 and 2,438.50

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Solution

The fourth proportional to 2,556.76, 3,535.23 and 2,438.50 is: 3,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.76 : 3,535.23 = 2,438.50 : x
  2. Step 2: Convert to fraction form
    2,556.76/3,535.23 = 2,438.50/x
  3. Step 3: Cross multiply
    2,556.76x = 3,535.23 × 2,438.50
  4. Step 4: Simplify right side
    2,556.76x = 8,620,658.36
  5. Step 5: Solve for x
    x = 8,620,658.36/2,556.76
  6. Step 6: Final answer
    x = 3,371.71

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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.