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Finding the Fourth Proportional to 2,693.02, 4,039.80 and 961.24

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Solution

The fourth proportional to 2,693.02, 4,039.80 and 961.24 is: 1,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.02 : 4,039.80 = 961.24 : x
  2. Step 2: Convert to fraction form
    2,693.02/4,039.80 = 961.24/x
  3. Step 3: Cross multiply
    2,693.02x = 4,039.80 × 961.24
  4. Step 4: Simplify right side
    2,693.02x = 3,883,217.35
  5. Step 5: Solve for x
    x = 3,883,217.35/2,693.02
  6. Step 6: Final answer
    x = 1,441.96

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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.