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Finding the Fourth Proportional to 3,215.16, 4,823.70 and 1,024.20

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Solution

The fourth proportional to 3,215.16, 4,823.70 and 1,024.20 is: 1,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.16 : 4,823.70 = 1,024.20 : x
  2. Step 2: Convert to fraction form
    3,215.16/4,823.70 = 1,024.20/x
  3. Step 3: Cross multiply
    3,215.16x = 4,823.70 × 1,024.20
  4. Step 4: Simplify right side
    3,215.16x = 4,940,433.54
  5. Step 5: Solve for x
    x = 4,940,433.54/3,215.16
  6. Step 6: Final answer
    x = 1,536.61

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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.