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Finding the Fourth Proportional to 2,257.37, 3,387.27 and 2,250.50

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Solution

The fourth proportional to 2,257.37, 3,387.27 and 2,250.50 is: 3,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.37 : 3,387.27 = 2,250.50 : x
  2. Step 2: Convert to fraction form
    2,257.37/3,387.27 = 2,250.50/x
  3. Step 3: Cross multiply
    2,257.37x = 3,387.27 × 2,250.50
  4. Step 4: Simplify right side
    2,257.37x = 7,623,051.14
  5. Step 5: Solve for x
    x = 7,623,051.14/2,257.37
  6. Step 6: Final answer
    x = 3,376.96

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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.