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Finding the Fourth Proportional to 1,609.70, 2,415.69 and 830.31

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Solution

The fourth proportional to 1,609.70, 2,415.69 and 830.31 is: 1,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.70 : 2,415.69 = 830.31 : x
  2. Step 2: Convert to fraction form
    1,609.70/2,415.69 = 830.31/x
  3. Step 3: Cross multiply
    1,609.70x = 2,415.69 × 830.31
  4. Step 4: Simplify right side
    1,609.70x = 2,005,771.56
  5. Step 5: Solve for x
    x = 2,005,771.56/1,609.70
  6. Step 6: Final answer
    x = 1,246.06

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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.