Home / 2,138.30-3,207.46-905.40

Finding the Fourth Proportional to 2,138.30, 3,207.46 and 905.40

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Solution

The fourth proportional to 2,138.30, 3,207.46 and 905.40 is: 1,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.30 : 3,207.46 = 905.40 : x
  2. Step 2: Convert to fraction form
    2,138.30/3,207.46 = 905.40/x
  3. Step 3: Cross multiply
    2,138.30x = 3,207.46 × 905.40
  4. Step 4: Simplify right side
    2,138.30x = 2,904,034.28
  5. Step 5: Solve for x
    x = 2,904,034.28/2,138.30
  6. Step 6: Final answer
    x = 1,358.10

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1.5x scale

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.