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Finding the Fourth Proportional to 1,323.88, 1,826.69 and 851.58

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Solution

The fourth proportional to 1,323.88, 1,826.69 and 851.58 is: 1,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.88 : 1,826.69 = 851.58 : x
  2. Step 2: Convert to fraction form
    1,323.88/1,826.69 = 851.58/x
  3. Step 3: Cross multiply
    1,323.88x = 1,826.69 × 851.58
  4. Step 4: Simplify right side
    1,323.88x = 1,555,568.41
  5. Step 5: Solve for x
    x = 1,555,568.41/1,323.88
  6. Step 6: Final answer
    x = 1,175.01

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