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Finding the Fourth Proportional to 2,963.38, 4,447.78 and 1,503.54

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Solution

The fourth proportional to 2,963.38, 4,447.78 and 1,503.54 is: 2,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.38 : 4,447.78 = 1,503.54 : x
  2. Step 2: Convert to fraction form
    2,963.38/4,447.78 = 1,503.54/x
  3. Step 3: Cross multiply
    2,963.38x = 4,447.78 × 1,503.54
  4. Step 4: Simplify right side
    2,963.38x = 6,687,415.14
  5. Step 5: Solve for x
    x = 6,687,415.14/2,963.38
  6. Step 6: Final answer
    x = 2,256.68

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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.