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Finding the Fourth Proportional to 2,536.12, 3,804.18 and 1,425.61

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Solution

The fourth proportional to 2,536.12, 3,804.18 and 1,425.61 is: 2,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.12 : 3,804.18 = 1,425.61 : x
  2. Step 2: Convert to fraction form
    2,536.12/3,804.18 = 1,425.61/x
  3. Step 3: Cross multiply
    2,536.12x = 3,804.18 × 1,425.61
  4. Step 4: Simplify right side
    2,536.12x = 5,423,277.05
  5. Step 5: Solve for x
    x = 5,423,277.05/2,536.12
  6. Step 6: Final answer
    x = 2,138.42

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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.