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Finding the Fourth Proportional to 1,728.14, 2,592.23 and 429.57

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Solution

The fourth proportional to 1,728.14, 2,592.23 and 429.57 is: 644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.14 : 2,592.23 = 429.57 : x
  2. Step 2: Convert to fraction form
    1,728.14/2,592.23 = 429.57/x
  3. Step 3: Cross multiply
    1,728.14x = 2,592.23 × 429.57
  4. Step 4: Simplify right side
    1,728.14x = 1,113,542.09
  5. Step 5: Solve for x
    x = 1,113,542.09/1,728.14
  6. Step 6: Final answer
    x = 644.36

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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.