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Finding the Fourth Proportional to 2,624.94, 3,937.41 and 2,012.58

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Solution

The fourth proportional to 2,624.94, 3,937.41 and 2,012.58 is: 3,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.94 : 3,937.41 = 2,012.58 : x
  2. Step 2: Convert to fraction form
    2,624.94/3,937.41 = 2,012.58/x
  3. Step 3: Cross multiply
    2,624.94x = 3,937.41 × 2,012.58
  4. Step 4: Simplify right side
    2,624.94x = 7,924,352.62
  5. Step 5: Solve for x
    x = 7,924,352.62/2,624.94
  6. Step 6: Final answer
    x = 3,018.87

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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.