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Finding the Fourth Proportional to 3,202.44, 4,805.14 and 1,353.98

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Solution

The fourth proportional to 3,202.44, 4,805.14 and 1,353.98 is: 2,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.44 : 4,805.14 = 1,353.98 : x
  2. Step 2: Convert to fraction form
    3,202.44/4,805.14 = 1,353.98/x
  3. Step 3: Cross multiply
    3,202.44x = 4,805.14 × 1,353.98
  4. Step 4: Simplify right side
    3,202.44x = 6,506,063.46
  5. Step 5: Solve for x
    x = 6,506,063.46/3,202.44
  6. Step 6: Final answer
    x = 2,031.60

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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.