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Finding the Fourth Proportional to 3,193.07, 4,791.42 and 1,549.98

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Solution

The fourth proportional to 3,193.07, 4,791.42 and 1,549.98 is: 2,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.07 : 4,791.42 = 1,549.98 : x
  2. Step 2: Convert to fraction form
    3,193.07/4,791.42 = 1,549.98/x
  3. Step 3: Cross multiply
    3,193.07x = 4,791.42 × 1,549.98
  4. Step 4: Simplify right side
    3,193.07x = 7,426,605.17
  5. Step 5: Solve for x
    x = 7,426,605.17/3,193.07
  6. Step 6: Final answer
    x = 2,325.85

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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.