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Finding the Fourth Proportional to 2,146.78, 3,222 and 849.16

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Solution

The fourth proportional to 2,146.78, 3,222 and 849.16 is: 1,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.78 : 3,222 = 849.16 : x
  2. Step 2: Convert to fraction form
    2,146.78/3,222 = 849.16/x
  3. Step 3: Cross multiply
    2,146.78x = 3,222 × 849.16
  4. Step 4: Simplify right side
    2,146.78x = 2,735,993.52
  5. Step 5: Solve for x
    x = 2,735,993.52/2,146.78
  6. Step 6: Final answer
    x = 1,274.46

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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.