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Finding the Fourth Proportional to 1,512.63, 2,083.86 and 1,217.39

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Solution

The fourth proportional to 1,512.63, 2,083.86 and 1,217.39 is: 1,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.63 : 2,083.86 = 1,217.39 : x
  2. Step 2: Convert to fraction form
    1,512.63/2,083.86 = 1,217.39/x
  3. Step 3: Cross multiply
    1,512.63x = 2,083.86 × 1,217.39
  4. Step 4: Simplify right side
    1,512.63x = 2,536,859.91
  5. Step 5: Solve for x
    x = 2,536,859.91/1,512.63
  6. Step 6: Final answer
    x = 1,677.12

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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.