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Finding the Fourth Proportional to 1,840.35, 2,538.86 and 1,391.42

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Solution

The fourth proportional to 1,840.35, 2,538.86 and 1,391.42 is: 1,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.35 : 2,538.86 = 1,391.42 : x
  2. Step 2: Convert to fraction form
    1,840.35/2,538.86 = 1,391.42/x
  3. Step 3: Cross multiply
    1,840.35x = 2,538.86 × 1,391.42
  4. Step 4: Simplify right side
    1,840.35x = 3,532,600.93
  5. Step 5: Solve for x
    x = 3,532,600.93/1,840.35
  6. Step 6: Final answer
    x = 1,919.53

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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.