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Finding the Fourth Proportional to 2,982.77, 4,474.77 and 1,133.54

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Solution

The fourth proportional to 2,982.77, 4,474.77 and 1,133.54 is: 1,700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.77 : 4,474.77 = 1,133.54 : x
  2. Step 2: Convert to fraction form
    2,982.77/4,474.77 = 1,133.54/x
  3. Step 3: Cross multiply
    2,982.77x = 4,474.77 × 1,133.54
  4. Step 4: Simplify right side
    2,982.77x = 5,072,330.79
  5. Step 5: Solve for x
    x = 5,072,330.79/2,982.77
  6. Step 6: Final answer
    x = 1,700.54

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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.