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Finding the Fourth Proportional to 2,503.63, 3,728.96 and 2,371.88

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Solution

The fourth proportional to 2,503.63, 3,728.96 and 2,371.88 is: 3,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.63 : 3,728.96 = 2,371.88 : x
  2. Step 2: Convert to fraction form
    2,503.63/3,728.96 = 2,371.88/x
  3. Step 3: Cross multiply
    2,503.63x = 3,728.96 × 2,371.88
  4. Step 4: Simplify right side
    2,503.63x = 8,844,645.64
  5. Step 5: Solve for x
    x = 8,844,645.64/2,503.63
  6. Step 6: Final answer
    x = 3,532.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.