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Finding the Fourth Proportional to 2,826.54, 4,236.48 and 975.96

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Solution

The fourth proportional to 2,826.54, 4,236.48 and 975.96 is: 1,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.54 : 4,236.48 = 975.96 : x
  2. Step 2: Convert to fraction form
    2,826.54/4,236.48 = 975.96/x
  3. Step 3: Cross multiply
    2,826.54x = 4,236.48 × 975.96
  4. Step 4: Simplify right side
    2,826.54x = 4,134,635.02
  5. Step 5: Solve for x
    x = 4,134,635.02/2,826.54
  6. Step 6: Final answer
    x = 1,462.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.