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Finding the Fourth Proportional to 2,863.98, 4,297.28 and 1,767.65

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Solution

The fourth proportional to 2,863.98, 4,297.28 and 1,767.65 is: 2,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.98 : 4,297.28 = 1,767.65 : x
  2. Step 2: Convert to fraction form
    2,863.98/4,297.28 = 1,767.65/x
  3. Step 3: Cross multiply
    2,863.98x = 4,297.28 × 1,767.65
  4. Step 4: Simplify right side
    2,863.98x = 7,596,056.67
  5. Step 5: Solve for x
    x = 7,596,056.67/2,863.98
  6. Step 6: Final answer
    x = 2,652.27

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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.