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Finding the Fourth Proportional to 2,863.65, 4,294.51 and 1,383.58

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Solution

The fourth proportional to 2,863.65, 4,294.51 and 1,383.58 is: 2,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.65 : 4,294.51 = 1,383.58 : x
  2. Step 2: Convert to fraction form
    2,863.65/4,294.51 = 1,383.58/x
  3. Step 3: Cross multiply
    2,863.65x = 4,294.51 × 1,383.58
  4. Step 4: Simplify right side
    2,863.65x = 5,941,779.92
  5. Step 5: Solve for x
    x = 5,941,779.92/2,863.65
  6. Step 6: Final answer
    x = 2,074.90

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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.