Home / 2,137.14-3,205.40-904.28

Finding the Fourth Proportional to 2,137.14, 3,205.40 and 904.28

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Solution

The fourth proportional to 2,137.14, 3,205.40 and 904.28 is: 1,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.14 : 3,205.40 = 904.28 : x
  2. Step 2: Convert to fraction form
    2,137.14/3,205.40 = 904.28/x
  3. Step 3: Cross multiply
    2,137.14x = 3,205.40 × 904.28
  4. Step 4: Simplify right side
    2,137.14x = 2,898,558.56
  5. Step 5: Solve for x
    x = 2,898,558.56/2,137.14
  6. Step 6: Final answer
    x = 1,356.28

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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.