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Finding the Fourth Proportional to 2,175.39, 3,262.26 and 788.32

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Solution

The fourth proportional to 2,175.39, 3,262.26 and 788.32 is: 1,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.39 : 3,262.26 = 788.32 : x
  2. Step 2: Convert to fraction form
    2,175.39/3,262.26 = 788.32/x
  3. Step 3: Cross multiply
    2,175.39x = 3,262.26 × 788.32
  4. Step 4: Simplify right side
    2,175.39x = 2,571,704.80
  5. Step 5: Solve for x
    x = 2,571,704.80/2,175.39
  6. Step 6: Final answer
    x = 1,182.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.