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Finding the Fourth Proportional to 1,728, 2,588.36 and 1,632.15

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Solution

The fourth proportional to 1,728, 2,588.36 and 1,632.15 is: 2,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 2,588.36 = 1,632.15 : x
  2. Step 2: Convert to fraction form
    1,728/2,588.36 = 1,632.15/x
  3. Step 3: Cross multiply
    1,728x = 2,588.36 × 1,632.15
  4. Step 4: Simplify right side
    1,728x = 4,224,583.61
  5. Step 5: Solve for x
    x = 4,224,583.61/1,728
  6. Step 6: Final answer
    x = 2,444.78

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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.