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Finding the Fourth Proportional to 2,698.92, 4,048.12 and 849.98

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Solution

The fourth proportional to 2,698.92, 4,048.12 and 849.98 is: 1,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.92 : 4,048.12 = 849.98 : x
  2. Step 2: Convert to fraction form
    2,698.92/4,048.12 = 849.98/x
  3. Step 3: Cross multiply
    2,698.92x = 4,048.12 × 849.98
  4. Step 4: Simplify right side
    2,698.92x = 3,440,821.04
  5. Step 5: Solve for x
    x = 3,440,821.04/2,698.92
  6. Step 6: Final answer
    x = 1,274.89

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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.