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Finding the Fourth Proportional to 4,466.94, 6,701.46 and 1,346.94

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Solution

The fourth proportional to 4,466.94, 6,701.46 and 1,346.94 is: 2,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.94 : 6,701.46 = 1,346.94 : x
  2. Step 2: Convert to fraction form
    4,466.94/6,701.46 = 1,346.94/x
  3. Step 3: Cross multiply
    4,466.94x = 6,701.46 × 1,346.94
  4. Step 4: Simplify right side
    4,466.94x = 9,026,464.53
  5. Step 5: Solve for x
    x = 9,026,464.53/4,466.94
  6. Step 6: Final answer
    x = 2,020.73

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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.