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Finding the Fourth Proportional to 3,048.26, 4,206.60 and 1,651

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Solution

The fourth proportional to 3,048.26, 4,206.60 and 1,651 is: 2,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.26 : 4,206.60 = 1,651 : x
  2. Step 2: Convert to fraction form
    3,048.26/4,206.60 = 1,651/x
  3. Step 3: Cross multiply
    3,048.26x = 4,206.60 × 1,651
  4. Step 4: Simplify right side
    3,048.26x = 6,945,096.60
  5. Step 5: Solve for x
    x = 6,945,096.60/3,048.26
  6. Step 6: Final answer
    x = 2,278.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.