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Finding the Fourth Proportional to 2,135.49, 3,204.09 and 837.87

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Solution

The fourth proportional to 2,135.49, 3,204.09 and 837.87 is: 1,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.49 : 3,204.09 = 837.87 : x
  2. Step 2: Convert to fraction form
    2,135.49/3,204.09 = 837.87/x
  3. Step 3: Cross multiply
    2,135.49x = 3,204.09 × 837.87
  4. Step 4: Simplify right side
    2,135.49x = 2,684,610.89
  5. Step 5: Solve for x
    x = 2,684,610.89/2,135.49
  6. Step 6: Final answer
    x = 1,257.14

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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.