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Finding the Fourth Proportional to 2,772.92, 3,826.60 and 1,594.01

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Solution

The fourth proportional to 2,772.92, 3,826.60 and 1,594.01 is: 2,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.92 : 3,826.60 = 1,594.01 : x
  2. Step 2: Convert to fraction form
    2,772.92/3,826.60 = 1,594.01/x
  3. Step 3: Cross multiply
    2,772.92x = 3,826.60 × 1,594.01
  4. Step 4: Simplify right side
    2,772.92x = 6,099,644.25
  5. Step 5: Solve for x
    x = 6,099,644.25/2,772.92
  6. Step 6: Final answer
    x = 2,199.72

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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.