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Finding the Fourth Proportional to 2,377.12, 3,562.02 and 2,012.62

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Solution

The fourth proportional to 2,377.12, 3,562.02 and 2,012.62 is: 3,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.12 : 3,562.02 = 2,012.62 : x
  2. Step 2: Convert to fraction form
    2,377.12/3,562.02 = 2,012.62/x
  3. Step 3: Cross multiply
    2,377.12x = 3,562.02 × 2,012.62
  4. Step 4: Simplify right side
    2,377.12x = 7,168,992.69
  5. Step 5: Solve for x
    x = 7,168,992.69/2,377.12
  6. Step 6: Final answer
    x = 3,015.83

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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.