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Finding the Fourth Proportional to 3,026.82, 4,539.66 and 805.62

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Solution

The fourth proportional to 3,026.82, 4,539.66 and 805.62 is: 1,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.82 : 4,539.66 = 805.62 : x
  2. Step 2: Convert to fraction form
    3,026.82/4,539.66 = 805.62/x
  3. Step 3: Cross multiply
    3,026.82x = 4,539.66 × 805.62
  4. Step 4: Simplify right side
    3,026.82x = 3,657,240.89
  5. Step 5: Solve for x
    x = 3,657,240.89/3,026.82
  6. Step 6: Final answer
    x = 1,208.28

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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.