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Finding the Fourth Proportional to 1,809.74, 2,714.66 and 511.21

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Solution

The fourth proportional to 1,809.74, 2,714.66 and 511.21 is: 766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.74 : 2,714.66 = 511.21 : x
  2. Step 2: Convert to fraction form
    1,809.74/2,714.66 = 511.21/x
  3. Step 3: Cross multiply
    1,809.74x = 2,714.66 × 511.21
  4. Step 4: Simplify right side
    1,809.74x = 1,387,766.97
  5. Step 5: Solve for x
    x = 1,387,766.97/1,809.74
  6. Step 6: Final answer
    x = 766.83

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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.