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Finding the Fourth Proportional to 2,792.50, 3,857.79 and 1,837.66

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Solution

The fourth proportional to 2,792.50, 3,857.79 and 1,837.66 is: 2,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.50 : 3,857.79 = 1,837.66 : x
  2. Step 2: Convert to fraction form
    2,792.50/3,857.79 = 1,837.66/x
  3. Step 3: Cross multiply
    2,792.50x = 3,857.79 × 1,837.66
  4. Step 4: Simplify right side
    2,792.50x = 7,089,306.37
  5. Step 5: Solve for x
    x = 7,089,306.37/2,792.50
  6. Step 6: Final answer
    x = 2,538.70

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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.