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Finding the Fourth Proportional to 2,135.73, 3,204.03 and 903.14

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Solution

The fourth proportional to 2,135.73, 3,204.03 and 903.14 is: 1,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.73 : 3,204.03 = 903.14 : x
  2. Step 2: Convert to fraction form
    2,135.73/3,204.03 = 903.14/x
  3. Step 3: Cross multiply
    2,135.73x = 3,204.03 × 903.14
  4. Step 4: Simplify right side
    2,135.73x = 2,893,671.63
  5. Step 5: Solve for x
    x = 2,893,671.63/2,135.73
  6. Step 6: Final answer
    x = 1,354.89

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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.