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Finding the Fourth Proportional to 1,419.92, 1,959 and 896.24

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Solution

The fourth proportional to 1,419.92, 1,959 and 896.24 is: 1,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.92 : 1,959 = 896.24 : x
  2. Step 2: Convert to fraction form
    1,419.92/1,959 = 896.24/x
  3. Step 3: Cross multiply
    1,419.92x = 1,959 × 896.24
  4. Step 4: Simplify right side
    1,419.92x = 1,755,734.16
  5. Step 5: Solve for x
    x = 1,755,734.16/1,419.92
  6. Step 6: Final answer
    x = 1,236.50

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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.