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Finding the Fourth Proportional to 3,263.64, 4,504.39 and 1,847.40

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Solution

The fourth proportional to 3,263.64, 4,504.39 and 1,847.40 is: 2,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.64 : 4,504.39 = 1,847.40 : x
  2. Step 2: Convert to fraction form
    3,263.64/4,504.39 = 1,847.40/x
  3. Step 3: Cross multiply
    3,263.64x = 4,504.39 × 1,847.40
  4. Step 4: Simplify right side
    3,263.64x = 8,321,410.09
  5. Step 5: Solve for x
    x = 8,321,410.09/3,263.64
  6. Step 6: Final answer
    x = 2,549.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.