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Finding the Fourth Proportional to 3,215.46, 4,824.03 and 1,024.20

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Solution

The fourth proportional to 3,215.46, 4,824.03 and 1,024.20 is: 1,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.46 : 4,824.03 = 1,024.20 : x
  2. Step 2: Convert to fraction form
    3,215.46/4,824.03 = 1,024.20/x
  3. Step 3: Cross multiply
    3,215.46x = 4,824.03 × 1,024.20
  4. Step 4: Simplify right side
    3,215.46x = 4,940,771.53
  5. Step 5: Solve for x
    x = 4,940,771.53/3,215.46
  6. Step 6: Final answer
    x = 1,536.57

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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.