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Finding the Fourth Proportional to 2,693.50, 3,707.39 and 1,906.18

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Solution

The fourth proportional to 2,693.50, 3,707.39 and 1,906.18 is: 2,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.50 : 3,707.39 = 1,906.18 : x
  2. Step 2: Convert to fraction form
    2,693.50/3,707.39 = 1,906.18/x
  3. Step 3: Cross multiply
    2,693.50x = 3,707.39 × 1,906.18
  4. Step 4: Simplify right side
    2,693.50x = 7,066,948.17
  5. Step 5: Solve for x
    x = 7,066,948.17/2,693.50
  6. Step 6: Final answer
    x = 2,623.71

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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.