Home / 3,178.54-4,385.96-1,762.16

Finding the Fourth Proportional to 3,178.54, 4,385.96 and 1,762.16

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Solution

The fourth proportional to 3,178.54, 4,385.96 and 1,762.16 is: 2,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.54 : 4,385.96 = 1,762.16 : x
  2. Step 2: Convert to fraction form
    3,178.54/4,385.96 = 1,762.16/x
  3. Step 3: Cross multiply
    3,178.54x = 4,385.96 × 1,762.16
  4. Step 4: Simplify right side
    3,178.54x = 7,728,745.75
  5. Step 5: Solve for x
    x = 7,728,745.75/3,178.54
  6. Step 6: Final answer
    x = 2,431.54

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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.