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Finding the Fourth Proportional to 1,842.37, 2,760.47 and 1,293.57

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Solution

The fourth proportional to 1,842.37, 2,760.47 and 1,293.57 is: 1,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.37 : 2,760.47 = 1,293.57 : x
  2. Step 2: Convert to fraction form
    1,842.37/2,760.47 = 1,293.57/x
  3. Step 3: Cross multiply
    1,842.37x = 2,760.47 × 1,293.57
  4. Step 4: Simplify right side
    1,842.37x = 3,570,847.38
  5. Step 5: Solve for x
    x = 3,570,847.38/1,842.37
  6. Step 6: Final answer
    x = 1,938.19

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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.