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Finding the Fourth Proportional to 2,378.92, 3,284.01 and 1,749.46

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Solution

The fourth proportional to 2,378.92, 3,284.01 and 1,749.46 is: 2,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.92 : 3,284.01 = 1,749.46 : x
  2. Step 2: Convert to fraction form
    2,378.92/3,284.01 = 1,749.46/x
  3. Step 3: Cross multiply
    2,378.92x = 3,284.01 × 1,749.46
  4. Step 4: Simplify right side
    2,378.92x = 5,745,244.13
  5. Step 5: Solve for x
    x = 5,745,244.13/2,378.92
  6. Step 6: Final answer
    x = 2,415.06

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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.