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Finding the Fourth Proportional to 2,772.56, 3,826.15 and 1,513.64

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Solution

The fourth proportional to 2,772.56, 3,826.15 and 1,513.64 is: 2,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.56 : 3,826.15 = 1,513.64 : x
  2. Step 2: Convert to fraction form
    2,772.56/3,826.15 = 1,513.64/x
  3. Step 3: Cross multiply
    2,772.56x = 3,826.15 × 1,513.64
  4. Step 4: Simplify right side
    2,772.56x = 5,791,419.47
  5. Step 5: Solve for x
    x = 5,791,419.47/2,772.56
  6. Step 6: Final answer
    x = 2,088.83

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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.