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Finding the Fourth Proportional to 2,729.76, 4,094.10 and 880.42

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Solution

The fourth proportional to 2,729.76, 4,094.10 and 880.42 is: 1,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.76 : 4,094.10 = 880.42 : x
  2. Step 2: Convert to fraction form
    2,729.76/4,094.10 = 880.42/x
  3. Step 3: Cross multiply
    2,729.76x = 4,094.10 × 880.42
  4. Step 4: Simplify right side
    2,729.76x = 3,604,527.52
  5. Step 5: Solve for x
    x = 3,604,527.52/2,729.76
  6. Step 6: Final answer
    x = 1,320.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.