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Finding the Fourth Proportional to 2,693.99, 4,039.56 and 844.61

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Solution

The fourth proportional to 2,693.99, 4,039.56 and 844.61 is: 1,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.99 : 4,039.56 = 844.61 : x
  2. Step 2: Convert to fraction form
    2,693.99/4,039.56 = 844.61/x
  3. Step 3: Cross multiply
    2,693.99x = 4,039.56 × 844.61
  4. Step 4: Simplify right side
    2,693.99x = 3,411,832.57
  5. Step 5: Solve for x
    x = 3,411,832.57/2,693.99
  6. Step 6: Final answer
    x = 1,266.46

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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.