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Finding the Fourth Proportional to 1,728.87, 2,383.63 and 1,256.38

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Solution

The fourth proportional to 1,728.87, 2,383.63 and 1,256.38 is: 1,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.87 : 2,383.63 = 1,256.38 : x
  2. Step 2: Convert to fraction form
    1,728.87/2,383.63 = 1,256.38/x
  3. Step 3: Cross multiply
    1,728.87x = 2,383.63 × 1,256.38
  4. Step 4: Simplify right side
    1,728.87x = 2,994,745.06
  5. Step 5: Solve for x
    x = 2,994,745.06/1,728.87
  6. Step 6: Final answer
    x = 1,732.20

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1.5x scale

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.