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Finding the Fourth Proportional to 1,769.54, 2,441.85 and 983.54

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Solution

The fourth proportional to 1,769.54, 2,441.85 and 983.54 is: 1,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.54 : 2,441.85 = 983.54 : x
  2. Step 2: Convert to fraction form
    1,769.54/2,441.85 = 983.54/x
  3. Step 3: Cross multiply
    1,769.54x = 2,441.85 × 983.54
  4. Step 4: Simplify right side
    1,769.54x = 2,401,644.94
  5. Step 5: Solve for x
    x = 2,401,644.94/1,769.54
  6. Step 6: Final answer
    x = 1,357.22

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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.