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Finding the Fourth Proportional to 2,525.43, 3,779.54 and 2,306.33

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Solution

The fourth proportional to 2,525.43, 3,779.54 and 2,306.33 is: 3,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.43 : 3,779.54 = 2,306.33 : x
  2. Step 2: Convert to fraction form
    2,525.43/3,779.54 = 2,306.33/x
  3. Step 3: Cross multiply
    2,525.43x = 3,779.54 × 2,306.33
  4. Step 4: Simplify right side
    2,525.43x = 8,716,836.06
  5. Step 5: Solve for x
    x = 8,716,836.06/2,525.43
  6. Step 6: Final answer
    x = 3,451.62

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