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Finding the Fourth Proportional to 3,456.34, 4,769.84 and 2,130.92

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Solution

The fourth proportional to 3,456.34, 4,769.84 and 2,130.92 is: 2,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.34 : 4,769.84 = 2,130.92 : x
  2. Step 2: Convert to fraction form
    3,456.34/4,769.84 = 2,130.92/x
  3. Step 3: Cross multiply
    3,456.34x = 4,769.84 × 2,130.92
  4. Step 4: Simplify right side
    3,456.34x = 10,164,147.45
  5. Step 5: Solve for x
    x = 10,164,147.45/3,456.34
  6. Step 6: Final answer
    x = 2,940.73

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