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Finding the Fourth Proportional to 4,832, 7,242.60 and 2,057.84

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Solution

The fourth proportional to 4,832, 7,242.60 and 2,057.84 is: 3,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832 : 7,242.60 = 2,057.84 : x
  2. Step 2: Convert to fraction form
    4,832/7,242.60 = 2,057.84/x
  3. Step 3: Cross multiply
    4,832x = 7,242.60 × 2,057.84
  4. Step 4: Simplify right side
    4,832x = 14,904,111.98
  5. Step 5: Solve for x
    x = 14,904,111.98/4,832
  6. Step 6: Final answer
    x = 3,084.46

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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.