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Finding the Fourth Proportional to 2,907.88, 4,351.56 and 2,741.56

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Solution

The fourth proportional to 2,907.88, 4,351.56 and 2,741.56 is: 4,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.88 : 4,351.56 = 2,741.56 : x
  2. Step 2: Convert to fraction form
    2,907.88/4,351.56 = 2,741.56/x
  3. Step 3: Cross multiply
    2,907.88x = 4,351.56 × 2,741.56
  4. Step 4: Simplify right side
    2,907.88x = 11,930,062.83
  5. Step 5: Solve for x
    x = 11,930,062.83/2,907.88
  6. Step 6: Final answer
    x = 4,102.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.