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Finding the Fourth Proportional to 2,698.63, 4,048.10 and 849.80

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Solution

The fourth proportional to 2,698.63, 4,048.10 and 849.80 is: 1,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.63 : 4,048.10 = 849.80 : x
  2. Step 2: Convert to fraction form
    2,698.63/4,048.10 = 849.80/x
  3. Step 3: Cross multiply
    2,698.63x = 4,048.10 × 849.80
  4. Step 4: Simplify right side
    2,698.63x = 3,440,075.38
  5. Step 5: Solve for x
    x = 3,440,075.38/2,698.63
  6. Step 6: Final answer
    x = 1,274.75

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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.