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Finding the Fourth Proportional to 2,742.33, 3,783.36 and 1,679.24

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Solution

The fourth proportional to 2,742.33, 3,783.36 and 1,679.24 is: 2,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.33 : 3,783.36 = 1,679.24 : x
  2. Step 2: Convert to fraction form
    2,742.33/3,783.36 = 1,679.24/x
  3. Step 3: Cross multiply
    2,742.33x = 3,783.36 × 1,679.24
  4. Step 4: Simplify right side
    2,742.33x = 6,353,169.45
  5. Step 5: Solve for x
    x = 6,353,169.45/2,742.33
  6. Step 6: Final answer
    x = 2,316.70

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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.