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Finding the Fourth Proportional to 2,729.50, 4,094.25 and 677.50

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Solution

The fourth proportional to 2,729.50, 4,094.25 and 677.50 is: 1,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.50 : 4,094.25 = 677.50 : x
  2. Step 2: Convert to fraction form
    2,729.50/4,094.25 = 677.50/x
  3. Step 3: Cross multiply
    2,729.50x = 4,094.25 × 677.50
  4. Step 4: Simplify right side
    2,729.50x = 2,773,854.38
  5. Step 5: Solve for x
    x = 2,773,854.38/2,729.50
  6. Step 6: Final answer
    x = 1,016.25

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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.