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Finding the Fourth Proportional to 2,783.64, 4,176.88 and 1,322.81

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Solution

The fourth proportional to 2,783.64, 4,176.88 and 1,322.81 is: 1,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.64 : 4,176.88 = 1,322.81 : x
  2. Step 2: Convert to fraction form
    2,783.64/4,176.88 = 1,322.81/x
  3. Step 3: Cross multiply
    2,783.64x = 4,176.88 × 1,322.81
  4. Step 4: Simplify right side
    2,783.64x = 5,525,194.44
  5. Step 5: Solve for x
    x = 5,525,194.44/2,783.64
  6. Step 6: Final answer
    x = 1,984.88

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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.