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Finding the Fourth Proportional to 4,241.91, 6,364.68 and 1,646.67

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Solution

The fourth proportional to 4,241.91, 6,364.68 and 1,646.67 is: 2,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.91 : 6,364.68 = 1,646.67 : x
  2. Step 2: Convert to fraction form
    4,241.91/6,364.68 = 1,646.67/x
  3. Step 3: Cross multiply
    4,241.91x = 6,364.68 × 1,646.67
  4. Step 4: Simplify right side
    4,241.91x = 10,480,527.62
  5. Step 5: Solve for x
    x = 10,480,527.62/4,241.91
  6. Step 6: Final answer
    x = 2,470.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.