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Finding the Fourth Proportional to 3,046.03, 4,569.21 and 966.26

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Solution

The fourth proportional to 3,046.03, 4,569.21 and 966.26 is: 1,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.03 : 4,569.21 = 966.26 : x
  2. Step 2: Convert to fraction form
    3,046.03/4,569.21 = 966.26/x
  3. Step 3: Cross multiply
    3,046.03x = 4,569.21 × 966.26
  4. Step 4: Simplify right side
    3,046.03x = 4,415,044.85
  5. Step 5: Solve for x
    x = 4,415,044.85/3,046.03
  6. Step 6: Final answer
    x = 1,449.44

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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.