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Finding the Fourth Proportional to 4,622.67, 6,934.31 and 1,661.72

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Solution

The fourth proportional to 4,622.67, 6,934.31 and 1,661.72 is: 2,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.67 : 6,934.31 = 1,661.72 : x
  2. Step 2: Convert to fraction form
    4,622.67/6,934.31 = 1,661.72/x
  3. Step 3: Cross multiply
    4,622.67x = 6,934.31 × 1,661.72
  4. Step 4: Simplify right side
    4,622.67x = 11,522,844.86
  5. Step 5: Solve for x
    x = 11,522,844.86/4,622.67
  6. Step 6: Final answer
    x = 2,492.68

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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.