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Finding the Fourth Proportional to 1,609.83, 2,221.70 and 1,347.39

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Solution

The fourth proportional to 1,609.83, 2,221.70 and 1,347.39 is: 1,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.83 : 2,221.70 = 1,347.39 : x
  2. Step 2: Convert to fraction form
    1,609.83/2,221.70 = 1,347.39/x
  3. Step 3: Cross multiply
    1,609.83x = 2,221.70 × 1,347.39
  4. Step 4: Simplify right side
    1,609.83x = 2,993,489.63
  5. Step 5: Solve for x
    x = 2,993,489.63/1,609.83
  6. Step 6: Final answer
    x = 1,859.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.