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Finding the Fourth Proportional to 2,742.48, 3,785.00 and 1,680.88

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Solution

The fourth proportional to 2,742.48, 3,785.00 and 1,680.88 is: 2,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.48 : 3,785.00 = 1,680.88 : x
  2. Step 2: Convert to fraction form
    2,742.48/3,785.00 = 1,680.88/x
  3. Step 3: Cross multiply
    2,742.48x = 3,785.00 × 1,680.88
  4. Step 4: Simplify right side
    2,742.48x = 6,362,112.93
  5. Step 5: Solve for x
    x = 6,362,112.93/2,742.48
  6. Step 6: Final answer
    x = 2,319.84

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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.