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Finding the Fourth Proportional to 2,625.83, 3,940.38 and 1,065.83

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Solution

The fourth proportional to 2,625.83, 3,940.38 and 1,065.83 is: 1,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.83 : 3,940.38 = 1,065.83 : x
  2. Step 2: Convert to fraction form
    2,625.83/3,940.38 = 1,065.83/x
  3. Step 3: Cross multiply
    2,625.83x = 3,940.38 × 1,065.83
  4. Step 4: Simplify right side
    2,625.83x = 4,199,785.07
  5. Step 5: Solve for x
    x = 4,199,785.07/2,625.83
  6. Step 6: Final answer
    x = 1,599.42

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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.