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Finding the Fourth Proportional to 2,825.59, 4,238.46 and 2,412.12

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Solution

The fourth proportional to 2,825.59, 4,238.46 and 2,412.12 is: 3,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.59 : 4,238.46 = 2,412.12 : x
  2. Step 2: Convert to fraction form
    2,825.59/4,238.46 = 2,412.12/x
  3. Step 3: Cross multiply
    2,825.59x = 4,238.46 × 2,412.12
  4. Step 4: Simplify right side
    2,825.59x = 10,223,674.14
  5. Step 5: Solve for x
    x = 10,223,674.14/2,825.59
  6. Step 6: Final answer
    x = 3,618.24

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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.