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Finding the Fourth Proportional to 1,809.43, 2,713.11 and 712.51

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Solution

The fourth proportional to 1,809.43, 2,713.11 and 712.51 is: 1,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.43 : 2,713.11 = 712.51 : x
  2. Step 2: Convert to fraction form
    1,809.43/2,713.11 = 712.51/x
  3. Step 3: Cross multiply
    1,809.43x = 2,713.11 × 712.51
  4. Step 4: Simplify right side
    1,809.43x = 1,933,118.01
  5. Step 5: Solve for x
    x = 1,933,118.01/1,809.43
  6. Step 6: Final answer
    x = 1,068.36

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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.