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Finding the Fourth Proportional to 2,433.49, 3,635.20 and 1,769.65

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Solution

The fourth proportional to 2,433.49, 3,635.20 and 1,769.65 is: 2,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.49 : 3,635.20 = 1,769.65 : x
  2. Step 2: Convert to fraction form
    2,433.49/3,635.20 = 1,769.65/x
  3. Step 3: Cross multiply
    2,433.49x = 3,635.20 × 1,769.65
  4. Step 4: Simplify right side
    2,433.49x = 6,433,029.78
  5. Step 5: Solve for x
    x = 6,433,029.78/2,433.49
  6. Step 6: Final answer
    x = 2,643.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.