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Finding the Fourth Proportional to 2,504.36, 3,756.85 and 943.90

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Solution

The fourth proportional to 2,504.36, 3,756.85 and 943.90 is: 1,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.36 : 3,756.85 = 943.90 : x
  2. Step 2: Convert to fraction form
    2,504.36/3,756.85 = 943.90/x
  3. Step 3: Cross multiply
    2,504.36x = 3,756.85 × 943.90
  4. Step 4: Simplify right side
    2,504.36x = 3,546,078.96
  5. Step 5: Solve for x
    x = 3,546,078.96/2,504.36
  6. Step 6: Final answer
    x = 1,415.96

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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.