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Finding the Fourth Proportional to 3,120.96, 4,667.64 and 2,776.70

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Solution

The fourth proportional to 3,120.96, 4,667.64 and 2,776.70 is: 4,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.96 : 4,667.64 = 2,776.70 : x
  2. Step 2: Convert to fraction form
    3,120.96/4,667.64 = 2,776.70/x
  3. Step 3: Cross multiply
    3,120.96x = 4,667.64 × 2,776.70
  4. Step 4: Simplify right side
    3,120.96x = 12,960,635.99
  5. Step 5: Solve for x
    x = 12,960,635.99/3,120.96
  6. Step 6: Final answer
    x = 4,152.77

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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.