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Finding the Fourth Proportional to 2,794.58, 4,189.70 and 1,254.50

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Solution

The fourth proportional to 2,794.58, 4,189.70 and 1,254.50 is: 1,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.58 : 4,189.70 = 1,254.50 : x
  2. Step 2: Convert to fraction form
    2,794.58/4,189.70 = 1,254.50/x
  3. Step 3: Cross multiply
    2,794.58x = 4,189.70 × 1,254.50
  4. Step 4: Simplify right side
    2,794.58x = 5,255,978.65
  5. Step 5: Solve for x
    x = 5,255,978.65/2,794.58
  6. Step 6: Final answer
    x = 1,880.78

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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.