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Finding the Fourth Proportional to 2,664.39, 3,996 and 2,532.63

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Solution

The fourth proportional to 2,664.39, 3,996 and 2,532.63 is: 3,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.39 : 3,996 = 2,532.63 : x
  2. Step 2: Convert to fraction form
    2,664.39/3,996 = 2,532.63/x
  3. Step 3: Cross multiply
    2,664.39x = 3,996 × 2,532.63
  4. Step 4: Simplify right side
    2,664.39x = 10,120,389.48
  5. Step 5: Solve for x
    x = 10,120,389.48/2,664.39
  6. Step 6: Final answer
    x = 3,798.39

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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.