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Finding the Fourth Proportional to 1,672.10, 2,509.26 and 698.20

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Solution

The fourth proportional to 1,672.10, 2,509.26 and 698.20 is: 1,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.10 : 2,509.26 = 698.20 : x
  2. Step 2: Convert to fraction form
    1,672.10/2,509.26 = 698.20/x
  3. Step 3: Cross multiply
    1,672.10x = 2,509.26 × 698.20
  4. Step 4: Simplify right side
    1,672.10x = 1,751,965.33
  5. Step 5: Solve for x
    x = 1,751,965.33/1,672.10
  6. Step 6: Final answer
    x = 1,047.76

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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.