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Finding the Fourth Proportional to 2,103.75, 3,156.62 and 804.87

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Solution

The fourth proportional to 2,103.75, 3,156.62 and 804.87 is: 1,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.75 : 3,156.62 = 804.87 : x
  2. Step 2: Convert to fraction form
    2,103.75/3,156.62 = 804.87/x
  3. Step 3: Cross multiply
    2,103.75x = 3,156.62 × 804.87
  4. Step 4: Simplify right side
    2,103.75x = 2,540,664.72
  5. Step 5: Solve for x
    x = 2,540,664.72/2,103.75
  6. Step 6: Final answer
    x = 1,207.68

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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.