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Finding the Fourth Proportional to 1,832.41, 2,526.42 and 1,537.03

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Solution

The fourth proportional to 1,832.41, 2,526.42 and 1,537.03 is: 2,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.41 : 2,526.42 = 1,537.03 : x
  2. Step 2: Convert to fraction form
    1,832.41/2,526.42 = 1,537.03/x
  3. Step 3: Cross multiply
    1,832.41x = 2,526.42 × 1,537.03
  4. Step 4: Simplify right side
    1,832.41x = 3,883,183.33
  5. Step 5: Solve for x
    x = 3,883,183.33/1,832.41
  6. Step 6: Final answer
    x = 2,119.17

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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.