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Finding the Fourth Proportional to 1,424.20, 1,963.98 and 969.16

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Solution

The fourth proportional to 1,424.20, 1,963.98 and 969.16 is: 1,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.20 : 1,963.98 = 969.16 : x
  2. Step 2: Convert to fraction form
    1,424.20/1,963.98 = 969.16/x
  3. Step 3: Cross multiply
    1,424.20x = 1,963.98 × 969.16
  4. Step 4: Simplify right side
    1,424.20x = 1,903,410.86
  5. Step 5: Solve for x
    x = 1,903,410.86/1,424.20
  6. Step 6: Final answer
    x = 1,336.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.