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Finding the Fourth Proportional to 2,811.16, 4,215.42 and 836.06

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Solution

The fourth proportional to 2,811.16, 4,215.42 and 836.06 is: 1,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.16 : 4,215.42 = 836.06 : x
  2. Step 2: Convert to fraction form
    2,811.16/4,215.42 = 836.06/x
  3. Step 3: Cross multiply
    2,811.16x = 4,215.42 × 836.06
  4. Step 4: Simplify right side
    2,811.16x = 3,524,320.62
  5. Step 5: Solve for x
    x = 3,524,320.62/2,811.16
  6. Step 6: Final answer
    x = 1,253.69

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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.