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Finding the Fourth Proportional to 2,873.64, 3,964.14 and 1,824.60

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Solution

The fourth proportional to 2,873.64, 3,964.14 and 1,824.60 is: 2,517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.64 : 3,964.14 = 1,824.60 : x
  2. Step 2: Convert to fraction form
    2,873.64/3,964.14 = 1,824.60/x
  3. Step 3: Cross multiply
    2,873.64x = 3,964.14 × 1,824.60
  4. Step 4: Simplify right side
    2,873.64x = 7,232,969.84
  5. Step 5: Solve for x
    x = 7,232,969.84/2,873.64
  6. Step 6: Final answer
    x = 2,517.01

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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.