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Finding the Fourth Proportional to 1,809.40, 2,712.27 and 713.34

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Solution

The fourth proportional to 1,809.40, 2,712.27 and 713.34 is: 1,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.40 : 2,712.27 = 713.34 : x
  2. Step 2: Convert to fraction form
    1,809.40/2,712.27 = 713.34/x
  3. Step 3: Cross multiply
    1,809.40x = 2,712.27 × 713.34
  4. Step 4: Simplify right side
    1,809.40x = 1,934,770.68
  5. Step 5: Solve for x
    x = 1,934,770.68/1,809.40
  6. Step 6: Final answer
    x = 1,069.29

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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.