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Finding the Fourth Proportional to 2,503.77, 3,755.66 and 943.35

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Solution

The fourth proportional to 2,503.77, 3,755.66 and 943.35 is: 1,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.77 : 3,755.66 = 943.35 : x
  2. Step 2: Convert to fraction form
    2,503.77/3,755.66 = 943.35/x
  3. Step 3: Cross multiply
    2,503.77x = 3,755.66 × 943.35
  4. Step 4: Simplify right side
    2,503.77x = 3,542,891.87
  5. Step 5: Solve for x
    x = 3,542,891.87/2,503.77
  6. Step 6: Final answer
    x = 1,415.03

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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.