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Finding the Fourth Proportional to 3,277.96, 4,523.72 and 1,880.98

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Solution

The fourth proportional to 3,277.96, 4,523.72 and 1,880.98 is: 2,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.96 : 4,523.72 = 1,880.98 : x
  2. Step 2: Convert to fraction form
    3,277.96/4,523.72 = 1,880.98/x
  3. Step 3: Cross multiply
    3,277.96x = 4,523.72 × 1,880.98
  4. Step 4: Simplify right side
    3,277.96x = 8,509,026.85
  5. Step 5: Solve for x
    x = 8,509,026.85/3,277.96
  6. Step 6: Final answer
    x = 2,595.83

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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.