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Finding the Fourth Proportional to 3,215.86, 4,824.14 and 1,024.08

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Solution

The fourth proportional to 3,215.86, 4,824.14 and 1,024.08 is: 1,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.86 : 4,824.14 = 1,024.08 : x
  2. Step 2: Convert to fraction form
    3,215.86/4,824.14 = 1,024.08/x
  3. Step 3: Cross multiply
    3,215.86x = 4,824.14 × 1,024.08
  4. Step 4: Simplify right side
    3,215.86x = 4,940,305.29
  5. Step 5: Solve for x
    x = 4,940,305.29/3,215.86
  6. Step 6: Final answer
    x = 1,536.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.