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Finding the Fourth Proportional to 3,157.68, 4,736.51 and 849.18

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Solution

The fourth proportional to 3,157.68, 4,736.51 and 849.18 is: 1,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.68 : 4,736.51 = 849.18 : x
  2. Step 2: Convert to fraction form
    3,157.68/4,736.51 = 849.18/x
  3. Step 3: Cross multiply
    3,157.68x = 4,736.51 × 849.18
  4. Step 4: Simplify right side
    3,157.68x = 4,022,145.32
  5. Step 5: Solve for x
    x = 4,022,145.32/3,157.68
  6. Step 6: Final answer
    x = 1,273.77

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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.