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Finding the Fourth Proportional to 1,438.92, 2,161.44 and 891.54

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Solution

The fourth proportional to 1,438.92, 2,161.44 and 891.54 is: 1,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.92 : 2,161.44 = 891.54 : x
  2. Step 2: Convert to fraction form
    1,438.92/2,161.44 = 891.54/x
  3. Step 3: Cross multiply
    1,438.92x = 2,161.44 × 891.54
  4. Step 4: Simplify right side
    1,438.92x = 1,927,010.22
  5. Step 5: Solve for x
    x = 1,927,010.22/1,438.92
  6. Step 6: Final answer
    x = 1,339.21

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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.