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Finding the Fourth Proportional to 1,810, 2,714.68 and 511.20

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Solution

The fourth proportional to 1,810, 2,714.68 and 511.20 is: 766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810 : 2,714.68 = 511.20 : x
  2. Step 2: Convert to fraction form
    1,810/2,714.68 = 511.20/x
  3. Step 3: Cross multiply
    1,810x = 2,714.68 × 511.20
  4. Step 4: Simplify right side
    1,810x = 1,387,744.42
  5. Step 5: Solve for x
    x = 1,387,744.42/1,810
  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.