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Finding the Fourth Proportional to 3,178.96, 4,385.48 and 2,074.32

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Solution

The fourth proportional to 3,178.96, 4,385.48 and 2,074.32 is: 2,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.96 : 4,385.48 = 2,074.32 : x
  2. Step 2: Convert to fraction form
    3,178.96/4,385.48 = 2,074.32/x
  3. Step 3: Cross multiply
    3,178.96x = 4,385.48 × 2,074.32
  4. Step 4: Simplify right side
    3,178.96x = 9,096,888.87
  5. Step 5: Solve for x
    x = 9,096,888.87/3,178.96
  6. Step 6: Final answer
    x = 2,861.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.