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Finding the Fourth Proportional to 1,525.31, 2,104.94 and 826.69

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Solution

The fourth proportional to 1,525.31, 2,104.94 and 826.69 is: 1,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.31 : 2,104.94 = 826.69 : x
  2. Step 2: Convert to fraction form
    1,525.31/2,104.94 = 826.69/x
  3. Step 3: Cross multiply
    1,525.31x = 2,104.94 × 826.69
  4. Step 4: Simplify right side
    1,525.31x = 1,740,123.45
  5. Step 5: Solve for x
    x = 1,740,123.45/1,525.31
  6. Step 6: Final answer
    x = 1,140.83

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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.