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Finding the Fourth Proportional to 1,729.42, 2,592 and 754.38

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Solution

The fourth proportional to 1,729.42, 2,592 and 754.38 is: 1,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.42 : 2,592 = 754.38 : x
  2. Step 2: Convert to fraction form
    1,729.42/2,592 = 754.38/x
  3. Step 3: Cross multiply
    1,729.42x = 2,592 × 754.38
  4. Step 4: Simplify right side
    1,729.42x = 1,955,352.96
  5. Step 5: Solve for x
    x = 1,955,352.96/1,729.42
  6. Step 6: Final answer
    x = 1,130.64

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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.