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Finding the Fourth Proportional to 3,046.80, 4,566.84 and 1,745.94

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Solution

The fourth proportional to 3,046.80, 4,566.84 and 1,745.94 is: 2,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.80 : 4,566.84 = 1,745.94 : x
  2. Step 2: Convert to fraction form
    3,046.80/4,566.84 = 1,745.94/x
  3. Step 3: Cross multiply
    3,046.80x = 4,566.84 × 1,745.94
  4. Step 4: Simplify right side
    3,046.80x = 7,973,428.63
  5. Step 5: Solve for x
    x = 7,973,428.63/3,046.80
  6. Step 6: Final answer
    x = 2,616.98

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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.