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Finding the Fourth Proportional to 1,440.23, 2,161.43 and 893.21

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Solution

The fourth proportional to 1,440.23, 2,161.43 and 893.21 is: 1,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.23 : 2,161.43 = 893.21 : x
  2. Step 2: Convert to fraction form
    1,440.23/2,161.43 = 893.21/x
  3. Step 3: Cross multiply
    1,440.23x = 2,161.43 × 893.21
  4. Step 4: Simplify right side
    1,440.23x = 1,930,606.42
  5. Step 5: Solve for x
    x = 1,930,606.42/1,440.23
  6. Step 6: Final answer
    x = 1,340.48

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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.