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Finding the Fourth Proportional to 1,809.68, 2,714.19 and 511.14

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Solution

The fourth proportional to 1,809.68, 2,714.19 and 511.14 is: 766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.68 : 2,714.19 = 511.14 : x
  2. Step 2: Convert to fraction form
    1,809.68/2,714.19 = 511.14/x
  3. Step 3: Cross multiply
    1,809.68x = 2,714.19 × 511.14
  4. Step 4: Simplify right side
    1,809.68x = 1,387,331.08
  5. Step 5: Solve for x
    x = 1,387,331.08/1,809.68
  6. Step 6: Final answer
    x = 766.62

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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.