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Finding the Fourth Proportional to 1,809.66, 2,714.58 and 511.23

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Solution

The fourth proportional to 1,809.66, 2,714.58 and 511.23 is: 766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.66 : 2,714.58 = 511.23 : x
  2. Step 2: Convert to fraction form
    1,809.66/2,714.58 = 511.23/x
  3. Step 3: Cross multiply
    1,809.66x = 2,714.58 × 511.23
  4. Step 4: Simplify right side
    1,809.66x = 1,387,774.73
  5. Step 5: Solve for x
    x = 1,387,774.73/1,809.66
  6. Step 6: Final answer
    x = 766.87

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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.