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Finding the Fourth Proportional to 2,065.99, 3,094.22 and 1,242.45

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Solution

The fourth proportional to 2,065.99, 3,094.22 and 1,242.45 is: 1,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.99 : 3,094.22 = 1,242.45 : x
  2. Step 2: Convert to fraction form
    2,065.99/3,094.22 = 1,242.45/x
  3. Step 3: Cross multiply
    2,065.99x = 3,094.22 × 1,242.45
  4. Step 4: Simplify right side
    2,065.99x = 3,844,413.64
  5. Step 5: Solve for x
    x = 3,844,413.64/2,065.99
  6. Step 6: Final answer
    x = 1,860.81

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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.