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Finding the Fourth Proportional to 2,253.77, 3,093.64 and 1,999.53

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Solution

The fourth proportional to 2,253.77, 3,093.64 and 1,999.53 is: 2,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.77 : 3,093.64 = 1,999.53 : x
  2. Step 2: Convert to fraction form
    2,253.77/3,093.64 = 1,999.53/x
  3. Step 3: Cross multiply
    2,253.77x = 3,093.64 × 1,999.53
  4. Step 4: Simplify right side
    2,253.77x = 6,185,816.89
  5. Step 5: Solve for x
    x = 6,185,816.89/2,253.77
  6. Step 6: Final answer
    x = 2,744.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.