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Finding the Fourth Proportional to 2,942.46, 4,415.13 and 1,383.48

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Solution

The fourth proportional to 2,942.46, 4,415.13 and 1,383.48 is: 2,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.46 : 4,415.13 = 1,383.48 : x
  2. Step 2: Convert to fraction form
    2,942.46/4,415.13 = 1,383.48/x
  3. Step 3: Cross multiply
    2,942.46x = 4,415.13 × 1,383.48
  4. Step 4: Simplify right side
    2,942.46x = 6,108,244.05
  5. Step 5: Solve for x
    x = 6,108,244.05/2,942.46
  6. Step 6: Final answer
    x = 2,075.90

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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.