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Finding the Fourth Proportional to 2,877.39, 4,315.32 and 796.86

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Solution

The fourth proportional to 2,877.39, 4,315.32 and 796.86 is: 1,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.39 : 4,315.32 = 796.86 : x
  2. Step 2: Convert to fraction form
    2,877.39/4,315.32 = 796.86/x
  3. Step 3: Cross multiply
    2,877.39x = 4,315.32 × 796.86
  4. Step 4: Simplify right side
    2,877.39x = 3,438,705.90
  5. Step 5: Solve for x
    x = 3,438,705.90/2,877.39
  6. Step 6: Final answer
    x = 1,195.08

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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.