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Finding the Fourth Proportional to 3,158.30, 4,736.84 and 849.98

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Solution

The fourth proportional to 3,158.30, 4,736.84 and 849.98 is: 1,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.30 : 4,736.84 = 849.98 : x
  2. Step 2: Convert to fraction form
    3,158.30/4,736.84 = 849.98/x
  3. Step 3: Cross multiply
    3,158.30x = 4,736.84 × 849.98
  4. Step 4: Simplify right side
    3,158.30x = 4,026,219.26
  5. Step 5: Solve for x
    x = 4,026,219.26/3,158.30
  6. Step 6: Final answer
    x = 1,274.81

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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.