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Finding the Fourth Proportional to 2,772.84, 3,826.12 and 1,594.12

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Solution

The fourth proportional to 2,772.84, 3,826.12 and 1,594.12 is: 2,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.84 : 3,826.12 = 1,594.12 : x
  2. Step 2: Convert to fraction form
    2,772.84/3,826.12 = 1,594.12/x
  3. Step 3: Cross multiply
    2,772.84x = 3,826.12 × 1,594.12
  4. Step 4: Simplify right side
    2,772.84x = 6,099,294.41
  5. Step 5: Solve for x
    x = 6,099,294.41/2,772.84
  6. Step 6: Final answer
    x = 2,199.66

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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.