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Finding the Fourth Proportional to 3,046.84, 4,570.28 and 966.85

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Solution

The fourth proportional to 3,046.84, 4,570.28 and 966.85 is: 1,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.84 : 4,570.28 = 966.85 : x
  2. Step 2: Convert to fraction form
    3,046.84/4,570.28 = 966.85/x
  3. Step 3: Cross multiply
    3,046.84x = 4,570.28 × 966.85
  4. Step 4: Simplify right side
    3,046.84x = 4,418,777.64
  5. Step 5: Solve for x
    x = 4,418,777.64/3,046.84
  6. Step 6: Final answer
    x = 1,450.28

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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.