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Finding the Fourth Proportional to 2,872.92, 4,309.69 and 1,024.23

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Solution

The fourth proportional to 2,872.92, 4,309.69 and 1,024.23 is: 1,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.92 : 4,309.69 = 1,024.23 : x
  2. Step 2: Convert to fraction form
    2,872.92/4,309.69 = 1,024.23/x
  3. Step 3: Cross multiply
    2,872.92x = 4,309.69 × 1,024.23
  4. Step 4: Simplify right side
    2,872.92x = 4,414,113.79
  5. Step 5: Solve for x
    x = 4,414,113.79/2,872.92
  6. Step 6: Final answer
    x = 1,536.46

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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.