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Finding the Fourth Proportional to 2,940.86, 4,058.36 and 1,596.44

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Solution

The fourth proportional to 2,940.86, 4,058.36 and 1,596.44 is: 2,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.86 : 4,058.36 = 1,596.44 : x
  2. Step 2: Convert to fraction form
    2,940.86/4,058.36 = 1,596.44/x
  3. Step 3: Cross multiply
    2,940.86x = 4,058.36 × 1,596.44
  4. Step 4: Simplify right side
    2,940.86x = 6,478,911.94
  5. Step 5: Solve for x
    x = 6,478,911.94/2,940.86
  6. Step 6: Final answer
    x = 2,203.07

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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.