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Finding the Fourth Proportional to 4,230, 6,344.94 and 1,632.88

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Solution

The fourth proportional to 4,230, 6,344.94 and 1,632.88 is: 2,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230 : 6,344.94 = 1,632.88 : x
  2. Step 2: Convert to fraction form
    4,230/6,344.94 = 1,632.88/x
  3. Step 3: Cross multiply
    4,230x = 6,344.94 × 1,632.88
  4. Step 4: Simplify right side
    4,230x = 10,360,525.63
  5. Step 5: Solve for x
    x = 10,360,525.63/4,230
  6. Step 6: Final answer
    x = 2,449.30

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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.