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Finding the Fourth Proportional to 1,729.94, 2,388.12 and 1,021.55

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Solution

The fourth proportional to 1,729.94, 2,388.12 and 1,021.55 is: 1,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.94 : 2,388.12 = 1,021.55 : x
  2. Step 2: Convert to fraction form
    1,729.94/2,388.12 = 1,021.55/x
  3. Step 3: Cross multiply
    1,729.94x = 2,388.12 × 1,021.55
  4. Step 4: Simplify right side
    1,729.94x = 2,439,583.99
  5. Step 5: Solve for x
    x = 2,439,583.99/1,729.94
  6. Step 6: Final answer
    x = 1,410.21

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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.