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Finding the Fourth Proportional to 2,134.36, 3,203.36 and 836.76

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Solution

The fourth proportional to 2,134.36, 3,203.36 and 836.76 is: 1,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.36 : 3,203.36 = 836.76 : x
  2. Step 2: Convert to fraction form
    2,134.36/3,203.36 = 836.76/x
  3. Step 3: Cross multiply
    2,134.36x = 3,203.36 × 836.76
  4. Step 4: Simplify right side
    2,134.36x = 2,680,443.51
  5. Step 5: Solve for x
    x = 2,680,443.51/2,134.36
  6. Step 6: Final answer
    x = 1,255.85

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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.