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Finding the Fourth Proportional to 2,137.21, 3,205.31 and 903.98

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Solution

The fourth proportional to 2,137.21, 3,205.31 and 903.98 is: 1,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.21 : 3,205.31 = 903.98 : x
  2. Step 2: Convert to fraction form
    2,137.21/3,205.31 = 903.98/x
  3. Step 3: Cross multiply
    2,137.21x = 3,205.31 × 903.98
  4. Step 4: Simplify right side
    2,137.21x = 2,897,539.63
  5. Step 5: Solve for x
    x = 2,897,539.63/2,137.21
  6. Step 6: Final answer
    x = 1,355.76

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