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Finding the Fourth Proportional to 1,840.12, 2,758.48 and 743.74

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Solution

The fourth proportional to 1,840.12, 2,758.48 and 743.74 is: 1,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.12 : 2,758.48 = 743.74 : x
  2. Step 2: Convert to fraction form
    1,840.12/2,758.48 = 743.74/x
  3. Step 3: Cross multiply
    1,840.12x = 2,758.48 × 743.74
  4. Step 4: Simplify right side
    1,840.12x = 2,051,591.92
  5. Step 5: Solve for x
    x = 2,051,591.92/1,840.12
  6. Step 6: Final answer
    x = 1,114.92

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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.