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Finding the Fourth Proportional to 1,447.68, 1,996.80 and 1,207.74

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Solution

The fourth proportional to 1,447.68, 1,996.80 and 1,207.74 is: 1,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.68 : 1,996.80 = 1,207.74 : x
  2. Step 2: Convert to fraction form
    1,447.68/1,996.80 = 1,207.74/x
  3. Step 3: Cross multiply
    1,447.68x = 1,996.80 × 1,207.74
  4. Step 4: Simplify right side
    1,447.68x = 2,411,615.23
  5. Step 5: Solve for x
    x = 2,411,615.23/1,447.68
  6. Step 6: Final answer
    x = 1,665.85

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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.