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Finding the Fourth Proportional to 3,162.85, 4,744.58 and 1,215

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Solution

The fourth proportional to 3,162.85, 4,744.58 and 1,215 is: 1,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.85 : 4,744.58 = 1,215 : x
  2. Step 2: Convert to fraction form
    3,162.85/4,744.58 = 1,215/x
  3. Step 3: Cross multiply
    3,162.85x = 4,744.58 × 1,215
  4. Step 4: Simplify right side
    3,162.85x = 5,764,658.63
  5. Step 5: Solve for x
    x = 5,764,658.63/3,162.85
  6. Step 6: Final answer
    x = 1,822.62

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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.