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Finding the Fourth Proportional to 2,148.69, 3,222.86 and 849.81

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Solution

The fourth proportional to 2,148.69, 3,222.86 and 849.81 is: 1,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.69 : 3,222.86 = 849.81 : x
  2. Step 2: Convert to fraction form
    2,148.69/3,222.86 = 849.81/x
  3. Step 3: Cross multiply
    2,148.69x = 3,222.86 × 849.81
  4. Step 4: Simplify right side
    2,148.69x = 2,738,814.41
  5. Step 5: Solve for x
    x = 2,738,814.41/2,148.69
  6. Step 6: Final answer
    x = 1,274.64

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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.