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Finding the Fourth Proportional to 2,771.63, 4,157.45 and 719.63

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Solution

The fourth proportional to 2,771.63, 4,157.45 and 719.63 is: 1,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.63 : 4,157.45 = 719.63 : x
  2. Step 2: Convert to fraction form
    2,771.63/4,157.45 = 719.63/x
  3. Step 3: Cross multiply
    2,771.63x = 4,157.45 × 719.63
  4. Step 4: Simplify right side
    2,771.63x = 2,991,801.36
  5. Step 5: Solve for x
    x = 2,991,801.36/2,771.63
  6. Step 6: Final answer
    x = 1,079.44

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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.