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Finding the Fourth Proportional to 2,631.89, 3,947.53 and 684.24

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Solution

The fourth proportional to 2,631.89, 3,947.53 and 684.24 is: 1,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.89 : 3,947.53 = 684.24 : x
  2. Step 2: Convert to fraction form
    2,631.89/3,947.53 = 684.24/x
  3. Step 3: Cross multiply
    2,631.89x = 3,947.53 × 684.24
  4. Step 4: Simplify right side
    2,631.89x = 2,701,064.37
  5. Step 5: Solve for x
    x = 2,701,064.37/2,631.89
  6. Step 6: Final answer
    x = 1,026.28

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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.