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Finding the Fourth Proportional to 3,102.42, 4,647.48 and 1,453.98

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Solution

The fourth proportional to 3,102.42, 4,647.48 and 1,453.98 is: 2,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.42 : 4,647.48 = 1,453.98 : x
  2. Step 2: Convert to fraction form
    3,102.42/4,647.48 = 1,453.98/x
  3. Step 3: Cross multiply
    3,102.42x = 4,647.48 × 1,453.98
  4. Step 4: Simplify right side
    3,102.42x = 6,757,342.97
  5. Step 5: Solve for x
    x = 6,757,342.97/3,102.42
  6. Step 6: Final answer
    x = 2,178.09

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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.