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Finding the Fourth Proportional to 2,124.31, 3,184.83 and 969.25

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Solution

The fourth proportional to 2,124.31, 3,184.83 and 969.25 is: 1,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.31 : 3,184.83 = 969.25 : x
  2. Step 2: Convert to fraction form
    2,124.31/3,184.83 = 969.25/x
  3. Step 3: Cross multiply
    2,124.31x = 3,184.83 × 969.25
  4. Step 4: Simplify right side
    2,124.31x = 3,086,896.48
  5. Step 5: Solve for x
    x = 3,086,896.48/2,124.31
  6. Step 6: Final answer
    x = 1,453.13

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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.