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Finding the Fourth Proportional to 2,378.97, 3,283.47 and 1,494.18

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Solution

The fourth proportional to 2,378.97, 3,283.47 and 1,494.18 is: 2,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.97 : 3,283.47 = 1,494.18 : x
  2. Step 2: Convert to fraction form
    2,378.97/3,283.47 = 1,494.18/x
  3. Step 3: Cross multiply
    2,378.97x = 3,283.47 × 1,494.18
  4. Step 4: Simplify right side
    2,378.97x = 4,906,095.20
  5. Step 5: Solve for x
    x = 4,906,095.20/2,378.97
  6. Step 6: Final answer
    x = 2,062.28

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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.