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Finding the Fourth Proportional to 1,728.12, 2,604.95 and 1,627.80

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Solution

The fourth proportional to 1,728.12, 2,604.95 and 1,627.80 is: 2,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.12 : 2,604.95 = 1,627.80 : x
  2. Step 2: Convert to fraction form
    1,728.12/2,604.95 = 1,627.80/x
  3. Step 3: Cross multiply
    1,728.12x = 2,604.95 × 1,627.80
  4. Step 4: Simplify right side
    1,728.12x = 4,240,329.47
  5. Step 5: Solve for x
    x = 4,240,329.47/1,728.12
  6. Step 6: Final answer
    x = 2,453.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.