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Finding the Fourth Proportional to 2,684.64, 4,027.12 and 836.02

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Solution

The fourth proportional to 2,684.64, 4,027.12 and 836.02 is: 1,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.64 : 4,027.12 = 836.02 : x
  2. Step 2: Convert to fraction form
    2,684.64/4,027.12 = 836.02/x
  3. Step 3: Cross multiply
    2,684.64x = 4,027.12 × 836.02
  4. Step 4: Simplify right side
    2,684.64x = 3,366,755.81
  5. Step 5: Solve for x
    x = 3,366,755.81/2,684.64
  6. Step 6: Final answer
    x = 1,254.08

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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.