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Finding the Fourth Proportional to 4,630.72, 6,942.84 and 1,708.24

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Solution

The fourth proportional to 4,630.72, 6,942.84 and 1,708.24 is: 2,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.72 : 6,942.84 = 1,708.24 : x
  2. Step 2: Convert to fraction form
    4,630.72/6,942.84 = 1,708.24/x
  3. Step 3: Cross multiply
    4,630.72x = 6,942.84 × 1,708.24
  4. Step 4: Simplify right side
    4,630.72x = 11,860,037.00
  5. Step 5: Solve for x
    x = 11,860,037.00/4,630.72
  6. Step 6: Final answer
    x = 2,561.16

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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.