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Finding the Fourth Proportional to 2,729.01, 4,092.95 and 780.78

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Solution

The fourth proportional to 2,729.01, 4,092.95 and 780.78 is: 1,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.01 : 4,092.95 = 780.78 : x
  2. Step 2: Convert to fraction form
    2,729.01/4,092.95 = 780.78/x
  3. Step 3: Cross multiply
    2,729.01x = 4,092.95 × 780.78
  4. Step 4: Simplify right side
    2,729.01x = 3,195,669.13
  5. Step 5: Solve for x
    x = 3,195,669.13/2,729.01
  6. Step 6: Final answer
    x = 1,171.00

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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.