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Finding the Fourth Proportional to 2,729.44, 4,093.93 and 880.07

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Solution

The fourth proportional to 2,729.44, 4,093.93 and 880.07 is: 1,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.44 : 4,093.93 = 880.07 : x
  2. Step 2: Convert to fraction form
    2,729.44/4,093.93 = 880.07/x
  3. Step 3: Cross multiply
    2,729.44x = 4,093.93 × 880.07
  4. Step 4: Simplify right side
    2,729.44x = 3,602,944.98
  5. Step 5: Solve for x
    x = 3,602,944.98/2,729.44
  6. Step 6: Final answer
    x = 1,320.03

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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.