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Finding the Fourth Proportional to 2,790.64, 4,180.09 and 1,863.19

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Solution

The fourth proportional to 2,790.64, 4,180.09 and 1,863.19 is: 2,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.64 : 4,180.09 = 1,863.19 : x
  2. Step 2: Convert to fraction form
    2,790.64/4,180.09 = 1,863.19/x
  3. Step 3: Cross multiply
    2,790.64x = 4,180.09 × 1,863.19
  4. Step 4: Simplify right side
    2,790.64x = 7,788,301.89
  5. Step 5: Solve for x
    x = 7,788,301.89/2,790.64
  6. Step 6: Final answer
    x = 2,790.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.