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Finding the Fourth Proportional to 1,525.28, 2,104.83 and 826.64

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Solution

The fourth proportional to 1,525.28, 2,104.83 and 826.64 is: 1,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.28 : 2,104.83 = 826.64 : x
  2. Step 2: Convert to fraction form
    1,525.28/2,104.83 = 826.64/x
  3. Step 3: Cross multiply
    1,525.28x = 2,104.83 × 826.64
  4. Step 4: Simplify right side
    1,525.28x = 1,739,936.67
  5. Step 5: Solve for x
    x = 1,739,936.67/1,525.28
  6. Step 6: Final answer
    x = 1,140.73

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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.