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Finding the Fourth Proportional to 2,137.25, 3,203.44 and 903.89

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Solution

The fourth proportional to 2,137.25, 3,203.44 and 903.89 is: 1,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.25 : 3,203.44 = 903.89 : x
  2. Step 2: Convert to fraction form
    2,137.25/3,203.44 = 903.89/x
  3. Step 3: Cross multiply
    2,137.25x = 3,203.44 × 903.89
  4. Step 4: Simplify right side
    2,137.25x = 2,895,539.10
  5. Step 5: Solve for x
    x = 2,895,539.10/2,137.25
  6. Step 6: Final answer
    x = 1,354.80

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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.