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Finding the Fourth Proportional to 2,425.94, 3,344.41 and 2,051.42

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Solution

The fourth proportional to 2,425.94, 3,344.41 and 2,051.42 is: 2,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.94 : 3,344.41 = 2,051.42 : x
  2. Step 2: Convert to fraction form
    2,425.94/3,344.41 = 2,051.42/x
  3. Step 3: Cross multiply
    2,425.94x = 3,344.41 × 2,051.42
  4. Step 4: Simplify right side
    2,425.94x = 6,860,763.87
  5. Step 5: Solve for x
    x = 6,860,763.87/2,425.94
  6. Step 6: Final answer
    x = 2,828.09

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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.