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Finding the Fourth Proportional to 1,447.62, 2,160.95 and 1,272.47

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Solution

The fourth proportional to 1,447.62, 2,160.95 and 1,272.47 is: 1,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.62 : 2,160.95 = 1,272.47 : x
  2. Step 2: Convert to fraction form
    1,447.62/2,160.95 = 1,272.47/x
  3. Step 3: Cross multiply
    1,447.62x = 2,160.95 × 1,272.47
  4. Step 4: Simplify right side
    1,447.62x = 2,749,734.04
  5. Step 5: Solve for x
    x = 2,749,734.04/1,447.62
  6. Step 6: Final answer
    x = 1,899.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.