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Finding the Fourth Proportional to 4,770.99, 7,156.97 and 1,650.59

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Solution

The fourth proportional to 4,770.99, 7,156.97 and 1,650.59 is: 2,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.99 : 7,156.97 = 1,650.59 : x
  2. Step 2: Convert to fraction form
    4,770.99/7,156.97 = 1,650.59/x
  3. Step 3: Cross multiply
    4,770.99x = 7,156.97 × 1,650.59
  4. Step 4: Simplify right side
    4,770.99x = 11,813,179.07
  5. Step 5: Solve for x
    x = 11,813,179.07/4,770.99
  6. Step 6: Final answer
    x = 2,476.04

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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.