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Finding the Fourth Proportional to 2,700.44, 4,051.01 and 851.11

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Solution

The fourth proportional to 2,700.44, 4,051.01 and 851.11 is: 1,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.44 : 4,051.01 = 851.11 : x
  2. Step 2: Convert to fraction form
    2,700.44/4,051.01 = 851.11/x
  3. Step 3: Cross multiply
    2,700.44x = 4,051.01 × 851.11
  4. Step 4: Simplify right side
    2,700.44x = 3,447,847.12
  5. Step 5: Solve for x
    x = 3,447,847.12/2,700.44
  6. Step 6: Final answer
    x = 1,276.77

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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.