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Finding the Fourth Proportional to 1,809.78, 2,712.54 and 769.47

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Solution

The fourth proportional to 1,809.78, 2,712.54 and 769.47 is: 1,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.78 : 2,712.54 = 769.47 : x
  2. Step 2: Convert to fraction form
    1,809.78/2,712.54 = 769.47/x
  3. Step 3: Cross multiply
    1,809.78x = 2,712.54 × 769.47
  4. Step 4: Simplify right side
    1,809.78x = 2,087,218.15
  5. Step 5: Solve for x
    x = 2,087,218.15/1,809.78
  6. Step 6: Final answer
    x = 1,153.30

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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.