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Finding the Fourth Proportional to 1,609.58, 2,414.24 and 959.76

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Solution

The fourth proportional to 1,609.58, 2,414.24 and 959.76 is: 1,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.58 : 2,414.24 = 959.76 : x
  2. Step 2: Convert to fraction form
    1,609.58/2,414.24 = 959.76/x
  3. Step 3: Cross multiply
    1,609.58x = 2,414.24 × 959.76
  4. Step 4: Simplify right side
    1,609.58x = 2,317,090.98
  5. Step 5: Solve for x
    x = 2,317,090.98/1,609.58
  6. Step 6: Final answer
    x = 1,439.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.