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Finding the Fourth Proportional to 1,411.92, 1,947.12 and 969.12

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Solution

The fourth proportional to 1,411.92, 1,947.12 and 969.12 is: 1,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.92 : 1,947.12 = 969.12 : x
  2. Step 2: Convert to fraction form
    1,411.92/1,947.12 = 969.12/x
  3. Step 3: Cross multiply
    1,411.92x = 1,947.12 × 969.12
  4. Step 4: Simplify right side
    1,411.92x = 1,886,992.93
  5. Step 5: Solve for x
    x = 1,886,992.93/1,411.92
  6. Step 6: Final answer
    x = 1,336.47

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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.