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Finding the Fourth Proportional to 3,026.82, 4,542.18 and 1,295.46

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Solution

The fourth proportional to 3,026.82, 4,542.18 and 1,295.46 is: 1,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.82 : 4,542.18 = 1,295.46 : x
  2. Step 2: Convert to fraction form
    3,026.82/4,542.18 = 1,295.46/x
  3. Step 3: Cross multiply
    3,026.82x = 4,542.18 × 1,295.46
  4. Step 4: Simplify right side
    3,026.82x = 5,884,212.50
  5. Step 5: Solve for x
    x = 5,884,212.50/3,026.82
  6. Step 6: Final answer
    x = 1,944.02

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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.