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Finding the Fourth Proportional to 3,027.36, 4,541.13 and 836.25

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Solution

The fourth proportional to 3,027.36, 4,541.13 and 836.25 is: 1,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.36 : 4,541.13 = 836.25 : x
  2. Step 2: Convert to fraction form
    3,027.36/4,541.13 = 836.25/x
  3. Step 3: Cross multiply
    3,027.36x = 4,541.13 × 836.25
  4. Step 4: Simplify right side
    3,027.36x = 3,797,519.96
  5. Step 5: Solve for x
    x = 3,797,519.96/3,027.36
  6. Step 6: Final answer
    x = 1,254.40

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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.