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Finding the Fourth Proportional to 1,629.49, 2,444.24 and 764.41

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Solution

The fourth proportional to 1,629.49, 2,444.24 and 764.41 is: 1,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.49 : 2,444.24 = 764.41 : x
  2. Step 2: Convert to fraction form
    1,629.49/2,444.24 = 764.41/x
  3. Step 3: Cross multiply
    1,629.49x = 2,444.24 × 764.41
  4. Step 4: Simplify right side
    1,629.49x = 1,868,401.50
  5. Step 5: Solve for x
    x = 1,868,401.50/1,629.49
  6. Step 6: Final answer
    x = 1,146.62

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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.