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Finding the Fourth Proportional to 4,934.22, 7,399.80 and 1,646.46

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Solution

The fourth proportional to 4,934.22, 7,399.80 and 1,646.46 is: 2,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.22 : 7,399.80 = 1,646.46 : x
  2. Step 2: Convert to fraction form
    4,934.22/7,399.80 = 1,646.46/x
  3. Step 3: Cross multiply
    4,934.22x = 7,399.80 × 1,646.46
  4. Step 4: Simplify right side
    4,934.22x = 12,183,474.71
  5. Step 5: Solve for x
    x = 12,183,474.71/4,934.22
  6. Step 6: Final answer
    x = 2,469.18

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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.