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Finding the Fourth Proportional to 2,906.46, 4,359.60 and 1,932.30

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Solution

The fourth proportional to 2,906.46, 4,359.60 and 1,932.30 is: 2,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.46 : 4,359.60 = 1,932.30 : x
  2. Step 2: Convert to fraction form
    2,906.46/4,359.60 = 1,932.30/x
  3. Step 3: Cross multiply
    2,906.46x = 4,359.60 × 1,932.30
  4. Step 4: Simplify right side
    2,906.46x = 8,424,055.08
  5. Step 5: Solve for x
    x = 8,424,055.08/2,906.46
  6. Step 6: Final answer
    x = 2,898.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.