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Finding the Fourth Proportional to 1,728.30, 2,575.69 and 1,672.95

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Solution

The fourth proportional to 1,728.30, 2,575.69 and 1,672.95 is: 2,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.30 : 2,575.69 = 1,672.95 : x
  2. Step 2: Convert to fraction form
    1,728.30/2,575.69 = 1,672.95/x
  3. Step 3: Cross multiply
    1,728.30x = 2,575.69 × 1,672.95
  4. Step 4: Simplify right side
    1,728.30x = 4,308,992.22
  5. Step 5: Solve for x
    x = 4,308,992.22/1,728.30
  6. Step 6: Final answer
    x = 2,493.20

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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.