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Finding the Fourth Proportional to 2,118.07, 3,176.43 and 731.08

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Solution

The fourth proportional to 2,118.07, 3,176.43 and 731.08 is: 1,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.07 : 3,176.43 = 731.08 : x
  2. Step 2: Convert to fraction form
    2,118.07/3,176.43 = 731.08/x
  3. Step 3: Cross multiply
    2,118.07x = 3,176.43 × 731.08
  4. Step 4: Simplify right side
    2,118.07x = 2,322,224.44
  5. Step 5: Solve for x
    x = 2,322,224.44/2,118.07
  6. Step 6: Final answer
    x = 1,096.39

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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.