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Finding the Fourth Proportional to 2,065.65, 3,094.43 and 1,241.49

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Solution

The fourth proportional to 2,065.65, 3,094.43 and 1,241.49 is: 1,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.65 : 3,094.43 = 1,241.49 : x
  2. Step 2: Convert to fraction form
    2,065.65/3,094.43 = 1,241.49/x
  3. Step 3: Cross multiply
    2,065.65x = 3,094.43 × 1,241.49
  4. Step 4: Simplify right side
    2,065.65x = 3,841,697.69
  5. Step 5: Solve for x
    x = 3,841,697.69/2,065.65
  6. Step 6: Final answer
    x = 1,859.80

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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.