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Finding the Fourth Proportional to 2,698.14, 4,047.30 and 849.24

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Solution

The fourth proportional to 2,698.14, 4,047.30 and 849.24 is: 1,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.14 : 4,047.30 = 849.24 : x
  2. Step 2: Convert to fraction form
    2,698.14/4,047.30 = 849.24/x
  3. Step 3: Cross multiply
    2,698.14x = 4,047.30 × 849.24
  4. Step 4: Simplify right side
    2,698.14x = 3,437,129.05
  5. Step 5: Solve for x
    x = 3,437,129.05/2,698.14
  6. Step 6: Final answer
    x = 1,273.89

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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.