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Finding the Fourth Proportional to 2,729.34, 4,093.13 and 880.04

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Solution

The fourth proportional to 2,729.34, 4,093.13 and 880.04 is: 1,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.34 : 4,093.13 = 880.04 : x
  2. Step 2: Convert to fraction form
    2,729.34/4,093.13 = 880.04/x
  3. Step 3: Cross multiply
    2,729.34x = 4,093.13 × 880.04
  4. Step 4: Simplify right side
    2,729.34x = 3,602,130.56
  5. Step 5: Solve for x
    x = 3,602,130.56/2,729.34
  6. Step 6: Final answer
    x = 1,319.78

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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.