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Finding the Fourth Proportional to 3,013.44, 4,519.70 and 822.35

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Solution

The fourth proportional to 3,013.44, 4,519.70 and 822.35 is: 1,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.44 : 4,519.70 = 822.35 : x
  2. Step 2: Convert to fraction form
    3,013.44/4,519.70 = 822.35/x
  3. Step 3: Cross multiply
    3,013.44x = 4,519.70 × 822.35
  4. Step 4: Simplify right side
    3,013.44x = 3,716,748.58
  5. Step 5: Solve for x
    x = 3,716,748.58/3,013.44
  6. Step 6: Final answer
    x = 1,233.39

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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.