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Finding the Fourth Proportional to 1,809.67, 2,714.50 and 511.14

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Solution

The fourth proportional to 1,809.67, 2,714.50 and 511.14 is: 766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.67 : 2,714.50 = 511.14 : x
  2. Step 2: Convert to fraction form
    1,809.67/2,714.50 = 511.14/x
  3. Step 3: Cross multiply
    1,809.67x = 2,714.50 × 511.14
  4. Step 4: Simplify right side
    1,809.67x = 1,387,491.13
  5. Step 5: Solve for x
    x = 1,387,491.13/1,809.67
  6. Step 6: Final answer
    x = 766.71

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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.