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Finding the Fourth Proportional to 2,758.58, 4,137.85 and 909.84

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Solution

The fourth proportional to 2,758.58, 4,137.85 and 909.84 is: 1,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.58 : 4,137.85 = 909.84 : x
  2. Step 2: Convert to fraction form
    2,758.58/4,137.85 = 909.84/x
  3. Step 3: Cross multiply
    2,758.58x = 4,137.85 × 909.84
  4. Step 4: Simplify right side
    2,758.58x = 3,764,782.62
  5. Step 5: Solve for x
    x = 3,764,782.62/2,758.58
  6. Step 6: Final answer
    x = 1,364.76

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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.