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Finding the Fourth Proportional to 3,243.54, 4,474.53 and 2,124

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Solution

The fourth proportional to 3,243.54, 4,474.53 and 2,124 is: 2,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.54 : 4,474.53 = 2,124 : x
  2. Step 2: Convert to fraction form
    3,243.54/4,474.53 = 2,124/x
  3. Step 3: Cross multiply
    3,243.54x = 4,474.53 × 2,124
  4. Step 4: Simplify right side
    3,243.54x = 9,503,901.72
  5. Step 5: Solve for x
    x = 9,503,901.72/3,243.54
  6. Step 6: Final answer
    x = 2,930.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.