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Finding the Fourth Proportional to 2,953.77, 4,076.14 and 1,627.44

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Solution

The fourth proportional to 2,953.77, 4,076.14 and 1,627.44 is: 2,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.77 : 4,076.14 = 1,627.44 : x
  2. Step 2: Convert to fraction form
    2,953.77/4,076.14 = 1,627.44/x
  3. Step 3: Cross multiply
    2,953.77x = 4,076.14 × 1,627.44
  4. Step 4: Simplify right side
    2,953.77x = 6,633,673.28
  5. Step 5: Solve for x
    x = 6,633,673.28/2,953.77
  6. Step 6: Final answer
    x = 2,245.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.