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Finding the Fourth Proportional to 2,104.67, 3,138.64 and 1,845.86

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Solution

The fourth proportional to 2,104.67, 3,138.64 and 1,845.86 is: 2,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.67 : 3,138.64 = 1,845.86 : x
  2. Step 2: Convert to fraction form
    2,104.67/3,138.64 = 1,845.86/x
  3. Step 3: Cross multiply
    2,104.67x = 3,138.64 × 1,845.86
  4. Step 4: Simplify right side
    2,104.67x = 5,793,490.03
  5. Step 5: Solve for x
    x = 5,793,490.03/2,104.67
  6. Step 6: Final answer
    x = 2,752.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.