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Finding the Fourth Proportional to 3,244.64, 4,477.94 and 1,847.48

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Solution

The fourth proportional to 3,244.64, 4,477.94 and 1,847.48 is: 2,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.64 : 4,477.94 = 1,847.48 : x
  2. Step 2: Convert to fraction form
    3,244.64/4,477.94 = 1,847.48/x
  3. Step 3: Cross multiply
    3,244.64x = 4,477.94 × 1,847.48
  4. Step 4: Simplify right side
    3,244.64x = 8,272,904.59
  5. Step 5: Solve for x
    x = 8,272,904.59/3,244.64
  6. Step 6: Final answer
    x = 2,549.71

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