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Finding the Fourth Proportional to 3,011.96, 4,516.86 and 1,280

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Solution

The fourth proportional to 3,011.96, 4,516.86 and 1,280 is: 1,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.96 : 4,516.86 = 1,280 : x
  2. Step 2: Convert to fraction form
    3,011.96/4,516.86 = 1,280/x
  3. Step 3: Cross multiply
    3,011.96x = 4,516.86 × 1,280
  4. Step 4: Simplify right side
    3,011.96x = 5,781,580.80
  5. Step 5: Solve for x
    x = 5,781,580.80/3,011.96
  6. Step 6: Final answer
    x = 1,919.54

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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.