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Finding the Fourth Proportional to 2,283.30, 3,148.07 and 1,863.23

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Solution

The fourth proportional to 2,283.30, 3,148.07 and 1,863.23 is: 2,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.30 : 3,148.07 = 1,863.23 : x
  2. Step 2: Convert to fraction form
    2,283.30/3,148.07 = 1,863.23/x
  3. Step 3: Cross multiply
    2,283.30x = 3,148.07 × 1,863.23
  4. Step 4: Simplify right side
    2,283.30x = 5,865,553.41
  5. Step 5: Solve for x
    x = 5,865,553.41/2,283.30
  6. Step 6: Final answer
    x = 2,568.89

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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.