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Finding the Fourth Proportional to 2,378.44, 3,282.29 and 1,434.22

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Solution

The fourth proportional to 2,378.44, 3,282.29 and 1,434.22 is: 1,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.44 : 3,282.29 = 1,434.22 : x
  2. Step 2: Convert to fraction form
    2,378.44/3,282.29 = 1,434.22/x
  3. Step 3: Cross multiply
    2,378.44x = 3,282.29 × 1,434.22
  4. Step 4: Simplify right side
    2,378.44x = 4,707,525.96
  5. Step 5: Solve for x
    x = 4,707,525.96/2,378.44
  6. Step 6: Final answer
    x = 1,979.25

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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.