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Finding the Fourth Proportional to 1,995.47, 2,989.64 and 1,664.39

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Solution

The fourth proportional to 1,995.47, 2,989.64 and 1,664.39 is: 2,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.47 : 2,989.64 = 1,664.39 : x
  2. Step 2: Convert to fraction form
    1,995.47/2,989.64 = 1,664.39/x
  3. Step 3: Cross multiply
    1,995.47x = 2,989.64 × 1,664.39
  4. Step 4: Simplify right side
    1,995.47x = 4,975,926.92
  5. Step 5: Solve for x
    x = 4,975,926.92/1,995.47
  6. Step 6: Final answer
    x = 2,493.61

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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.