Home / 3,024-4,546.96-2,783.44

Finding the Fourth Proportional to 3,024, 4,546.96 and 2,783.44

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Solution

The fourth proportional to 3,024, 4,546.96 and 2,783.44 is: 4,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024 : 4,546.96 = 2,783.44 : x
  2. Step 2: Convert to fraction form
    3,024/4,546.96 = 2,783.44/x
  3. Step 3: Cross multiply
    3,024x = 4,546.96 × 2,783.44
  4. Step 4: Simplify right side
    3,024x = 12,656,190.34
  5. Step 5: Solve for x
    x = 12,656,190.34/3,024
  6. Step 6: Final answer
    x = 4,185.25

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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.