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Finding the Fourth Proportional to 2,906.54, 4,359.44 and 932.39

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Solution

The fourth proportional to 2,906.54, 4,359.44 and 932.39 is: 1,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.54 : 4,359.44 = 932.39 : x
  2. Step 2: Convert to fraction form
    2,906.54/4,359.44 = 932.39/x
  3. Step 3: Cross multiply
    2,906.54x = 4,359.44 × 932.39
  4. Step 4: Simplify right side
    2,906.54x = 4,064,678.80
  5. Step 5: Solve for x
    x = 4,064,678.80/2,906.54
  6. Step 6: Final answer
    x = 1,398.46

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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.