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Finding the Fourth Proportional to 1,826.22, 2,739.60 and 671.88

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Solution

The fourth proportional to 1,826.22, 2,739.60 and 671.88 is: 1,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.22 : 2,739.60 = 671.88 : x
  2. Step 2: Convert to fraction form
    1,826.22/2,739.60 = 671.88/x
  3. Step 3: Cross multiply
    1,826.22x = 2,739.60 × 671.88
  4. Step 4: Simplify right side
    1,826.22x = 1,840,682.45
  5. Step 5: Solve for x
    x = 1,840,682.45/1,826.22
  6. Step 6: Final answer
    x = 1,007.92

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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.