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Finding the Fourth Proportional to 1,440.62, 2,161.30 and 453.46

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Solution

The fourth proportional to 1,440.62, 2,161.30 and 453.46 is: 680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.62 : 2,161.30 = 453.46 : x
  2. Step 2: Convert to fraction form
    1,440.62/2,161.30 = 453.46/x
  3. Step 3: Cross multiply
    1,440.62x = 2,161.30 × 453.46
  4. Step 4: Simplify right side
    1,440.62x = 980,064.74
  5. Step 5: Solve for x
    x = 980,064.74/1,440.62
  6. Step 6: Final answer
    x = 680.31

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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.