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Finding the Fourth Proportional to 4,257, 6,385.46 and 1,661.76

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Solution

The fourth proportional to 4,257, 6,385.46 and 1,661.76 is: 2,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257 : 6,385.46 = 1,661.76 : x
  2. Step 2: Convert to fraction form
    4,257/6,385.46 = 1,661.76/x
  3. Step 3: Cross multiply
    4,257x = 6,385.46 × 1,661.76
  4. Step 4: Simplify right side
    4,257x = 10,611,093.70
  5. Step 5: Solve for x
    x = 10,611,093.70/4,257
  6. Step 6: Final answer
    x = 2,492.62

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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.