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Finding the Fourth Proportional to 3,283.92, 4,532.36 and 2,042

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Solution

The fourth proportional to 3,283.92, 4,532.36 and 2,042 is: 2,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.92 : 4,532.36 = 2,042 : x
  2. Step 2: Convert to fraction form
    3,283.92/4,532.36 = 2,042/x
  3. Step 3: Cross multiply
    3,283.92x = 4,532.36 × 2,042
  4. Step 4: Simplify right side
    3,283.92x = 9,255,079.12
  5. Step 5: Solve for x
    x = 9,255,079.12/3,283.92
  6. Step 6: Final answer
    x = 2,818.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.