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Finding the Fourth Proportional to 2,157.96, 3,228.75 and 1,280.91

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Solution

The fourth proportional to 2,157.96, 3,228.75 and 1,280.91 is: 1,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.96 : 3,228.75 = 1,280.91 : x
  2. Step 2: Convert to fraction form
    2,157.96/3,228.75 = 1,280.91/x
  3. Step 3: Cross multiply
    2,157.96x = 3,228.75 × 1,280.91
  4. Step 4: Simplify right side
    2,157.96x = 4,135,738.16
  5. Step 5: Solve for x
    x = 4,135,738.16/2,157.96
  6. Step 6: Final answer
    x = 1,916.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.