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Finding the Fourth Proportional to 2,741.64, 3,783.75 and 1,680.12

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Solution

The fourth proportional to 2,741.64, 3,783.75 and 1,680.12 is: 2,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.64 : 3,783.75 = 1,680.12 : x
  2. Step 2: Convert to fraction form
    2,741.64/3,783.75 = 1,680.12/x
  3. Step 3: Cross multiply
    2,741.64x = 3,783.75 × 1,680.12
  4. Step 4: Simplify right side
    2,741.64x = 6,357,154.05
  5. Step 5: Solve for x
    x = 6,357,154.05/2,741.64
  6. Step 6: Final answer
    x = 2,318.74

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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.