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Finding the Fourth Proportional to 2,693.90, 3,716.36 and 1,946.68

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Solution

The fourth proportional to 2,693.90, 3,716.36 and 1,946.68 is: 2,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.90 : 3,716.36 = 1,946.68 : x
  2. Step 2: Convert to fraction form
    2,693.90/3,716.36 = 1,946.68/x
  3. Step 3: Cross multiply
    2,693.90x = 3,716.36 × 1,946.68
  4. Step 4: Simplify right side
    2,693.90x = 7,234,551.96
  5. Step 5: Solve for x
    x = 7,234,551.96/2,693.90
  6. Step 6: Final answer
    x = 2,685.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.