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Finding the Fourth Proportional to 3,027.68, 4,541.16 and 836.63

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Solution

The fourth proportional to 3,027.68, 4,541.16 and 836.63 is: 1,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.68 : 4,541.16 = 836.63 : x
  2. Step 2: Convert to fraction form
    3,027.68/4,541.16 = 836.63/x
  3. Step 3: Cross multiply
    3,027.68x = 4,541.16 × 836.63
  4. Step 4: Simplify right side
    3,027.68x = 3,799,268.15
  5. Step 5: Solve for x
    x = 3,799,268.15/3,027.68
  6. Step 6: Final answer
    x = 1,254.85

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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.