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Finding the Fourth Proportional to 2,581.94, 3,872.19 and 732.98

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Solution

The fourth proportional to 2,581.94, 3,872.19 and 732.98 is: 1,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.94 : 3,872.19 = 732.98 : x
  2. Step 2: Convert to fraction form
    2,581.94/3,872.19 = 732.98/x
  3. Step 3: Cross multiply
    2,581.94x = 3,872.19 × 732.98
  4. Step 4: Simplify right side
    2,581.94x = 2,838,237.83
  5. Step 5: Solve for x
    x = 2,838,237.83/2,581.94
  6. Step 6: Final answer
    x = 1,099.27

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1.5x scale

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.