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Finding the Fourth Proportional to 2,538.77, 3,807.92 and 1,223.57

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Solution

The fourth proportional to 2,538.77, 3,807.92 and 1,223.57 is: 1,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.77 : 3,807.92 = 1,223.57 : x
  2. Step 2: Convert to fraction form
    2,538.77/3,807.92 = 1,223.57/x
  3. Step 3: Cross multiply
    2,538.77x = 3,807.92 × 1,223.57
  4. Step 4: Simplify right side
    2,538.77x = 4,659,237.63
  5. Step 5: Solve for x
    x = 4,659,237.63/2,538.77
  6. Step 6: Final answer
    x = 1,835.23

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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.