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Finding the Fourth Proportional to 3,180.86, 4,774.04 and 2,207.64

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Solution

The fourth proportional to 3,180.86, 4,774.04 and 2,207.64 is: 3,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.86 : 4,774.04 = 2,207.64 : x
  2. Step 2: Convert to fraction form
    3,180.86/4,774.04 = 2,207.64/x
  3. Step 3: Cross multiply
    3,180.86x = 4,774.04 × 2,207.64
  4. Step 4: Simplify right side
    3,180.86x = 10,539,350.63
  5. Step 5: Solve for x
    x = 10,539,350.63/3,180.86
  6. Step 6: Final answer
    x = 3,313.37

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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.