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Finding the Fourth Proportional to 1,810.69, 2,714.10 and 769.75

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Solution

The fourth proportional to 1,810.69, 2,714.10 and 769.75 is: 1,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.69 : 2,714.10 = 769.75 : x
  2. Step 2: Convert to fraction form
    1,810.69/2,714.10 = 769.75/x
  3. Step 3: Cross multiply
    1,810.69x = 2,714.10 × 769.75
  4. Step 4: Simplify right side
    1,810.69x = 2,089,178.48
  5. Step 5: Solve for x
    x = 2,089,178.48/1,810.69
  6. Step 6: Final answer
    x = 1,153.80

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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.