Home / 2,076.40-3,114.60-905.44

Finding the Fourth Proportional to 2,076.40, 3,114.60 and 905.44

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Solution

The fourth proportional to 2,076.40, 3,114.60 and 905.44 is: 1,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.40 : 3,114.60 = 905.44 : x
  2. Step 2: Convert to fraction form
    2,076.40/3,114.60 = 905.44/x
  3. Step 3: Cross multiply
    2,076.40x = 3,114.60 × 905.44
  4. Step 4: Simplify right side
    2,076.40x = 2,820,083.42
  5. Step 5: Solve for x
    x = 2,820,083.42/2,076.40
  6. Step 6: Final answer
    x = 1,358.16

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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.