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Finding the Fourth Proportional to 4,617.69, 6,924.99 and 1,496.88

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Solution

The fourth proportional to 4,617.69, 6,924.99 and 1,496.88 is: 2,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.69 : 6,924.99 = 1,496.88 : x
  2. Step 2: Convert to fraction form
    4,617.69/6,924.99 = 1,496.88/x
  3. Step 3: Cross multiply
    4,617.69x = 6,924.99 × 1,496.88
  4. Step 4: Simplify right side
    4,617.69x = 10,365,879.03
  5. Step 5: Solve for x
    x = 10,365,879.03/4,617.69
  6. Step 6: Final answer
    x = 2,244.82

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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.