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Finding the Fourth Proportional to 2,698.15, 4,047.94 and 849.33

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Solution

The fourth proportional to 2,698.15, 4,047.94 and 849.33 is: 1,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.15 : 4,047.94 = 849.33 : x
  2. Step 2: Convert to fraction form
    2,698.15/4,047.94 = 849.33/x
  3. Step 3: Cross multiply
    2,698.15x = 4,047.94 × 849.33
  4. Step 4: Simplify right side
    2,698.15x = 3,438,036.88
  5. Step 5: Solve for x
    x = 3,438,036.88/2,698.15
  6. Step 6: Final answer
    x = 1,274.22

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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.