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Finding the Fourth Proportional to 1,863.96, 2,571.12 and 1,234.50

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Solution

The fourth proportional to 1,863.96, 2,571.12 and 1,234.50 is: 1,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.96 : 2,571.12 = 1,234.50 : x
  2. Step 2: Convert to fraction form
    1,863.96/2,571.12 = 1,234.50/x
  3. Step 3: Cross multiply
    1,863.96x = 2,571.12 × 1,234.50
  4. Step 4: Simplify right side
    1,863.96x = 3,174,047.64
  5. Step 5: Solve for x
    x = 3,174,047.64/1,863.96
  6. Step 6: Final answer
    x = 1,702.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.