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Finding the Fourth Proportional to 1,840.46, 2,538.72 and 1,342.49

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Solution

The fourth proportional to 1,840.46, 2,538.72 and 1,342.49 is: 1,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.46 : 2,538.72 = 1,342.49 : x
  2. Step 2: Convert to fraction form
    1,840.46/2,538.72 = 1,342.49/x
  3. Step 3: Cross multiply
    1,840.46x = 2,538.72 × 1,342.49
  4. Step 4: Simplify right side
    1,840.46x = 3,408,193.52
  5. Step 5: Solve for x
    x = 3,408,193.52/1,840.46
  6. Step 6: Final answer
    x = 1,851.82

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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.