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Finding the Fourth Proportional to 3,027.60, 4,541.94 and 836.28

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Solution

The fourth proportional to 3,027.60, 4,541.94 and 836.28 is: 1,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.60 : 4,541.94 = 836.28 : x
  2. Step 2: Convert to fraction form
    3,027.60/4,541.94 = 836.28/x
  3. Step 3: Cross multiply
    3,027.60x = 4,541.94 × 836.28
  4. Step 4: Simplify right side
    3,027.60x = 3,798,333.58
  5. Step 5: Solve for x
    x = 3,798,333.58/3,027.60
  6. Step 6: Final answer
    x = 1,254.57

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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.