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Finding the Fourth Proportional to 2,425.82, 3,354.64 and 2,382.08

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Solution

The fourth proportional to 2,425.82, 3,354.64 and 2,382.08 is: 3,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.82 : 3,354.64 = 2,382.08 : x
  2. Step 2: Convert to fraction form
    2,425.82/3,354.64 = 2,382.08/x
  3. Step 3: Cross multiply
    2,425.82x = 3,354.64 × 2,382.08
  4. Step 4: Simplify right side
    2,425.82x = 7,991,020.85
  5. Step 5: Solve for x
    x = 7,991,020.85/2,425.82
  6. Step 6: Final answer
    x = 3,294.15

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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.