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Finding the Fourth Proportional to 3,200, 4,416 and 1,728

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Solution

The fourth proportional to 3,200, 4,416 and 1,728 is: 2,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200 : 4,416 = 1,728 : x
  2. Step 2: Convert to fraction form
    3,200/4,416 = 1,728/x
  3. Step 3: Cross multiply
    3,200x = 4,416 × 1,728
  4. Step 4: Simplify right side
    3,200x = 7,630,848
  5. Step 5: Solve for x
    x = 7,630,848/3,200
  6. Step 6: Final answer
    x = 2,384.64

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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.