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Finding the Fourth Proportional to 2,826.54, 3,900.60 and 1,584.54

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Solution

The fourth proportional to 2,826.54, 3,900.60 and 1,584.54 is: 2,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.54 : 3,900.60 = 1,584.54 : x
  2. Step 2: Convert to fraction form
    2,826.54/3,900.60 = 1,584.54/x
  3. Step 3: Cross multiply
    2,826.54x = 3,900.60 × 1,584.54
  4. Step 4: Simplify right side
    2,826.54x = 6,180,656.72
  5. Step 5: Solve for x
    x = 6,180,656.72/2,826.54
  6. Step 6: Final answer
    x = 2,186.65

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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.