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Finding the Fourth Proportional to 2,863.65, 4,299.58 and 1,764.69

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Solution

The fourth proportional to 2,863.65, 4,299.58 and 1,764.69 is: 2,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.65 : 4,299.58 = 1,764.69 : x
  2. Step 2: Convert to fraction form
    2,863.65/4,299.58 = 1,764.69/x
  3. Step 3: Cross multiply
    2,863.65x = 4,299.58 × 1,764.69
  4. Step 4: Simplify right side
    2,863.65x = 7,587,411.91
  5. Step 5: Solve for x
    x = 7,587,411.91/2,863.65
  6. Step 6: Final answer
    x = 2,649.56

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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.