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Finding the Fourth Proportional to 2,847.64, 4,272.06 and 1,116.44

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Solution

The fourth proportional to 2,847.64, 4,272.06 and 1,116.44 is: 1,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.64 : 4,272.06 = 1,116.44 : x
  2. Step 2: Convert to fraction form
    2,847.64/4,272.06 = 1,116.44/x
  3. Step 3: Cross multiply
    2,847.64x = 4,272.06 × 1,116.44
  4. Step 4: Simplify right side
    2,847.64x = 4,769,498.67
  5. Step 5: Solve for x
    x = 4,769,498.67/2,847.64
  6. Step 6: Final answer
    x = 1,674.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.