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Finding the Fourth Proportional to 3,026.82, 4,540.80 and 1,052.30

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Solution

The fourth proportional to 3,026.82, 4,540.80 and 1,052.30 is: 1,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.82 : 4,540.80 = 1,052.30 : x
  2. Step 2: Convert to fraction form
    3,026.82/4,540.80 = 1,052.30/x
  3. Step 3: Cross multiply
    3,026.82x = 4,540.80 × 1,052.30
  4. Step 4: Simplify right side
    3,026.82x = 4,778,283.84
  5. Step 5: Solve for x
    x = 4,778,283.84/3,026.82
  6. Step 6: Final answer
    x = 1,578.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.