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Finding the Fourth Proportional to 2,869.82, 4,305.23 and 1,482.77

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Solution

The fourth proportional to 2,869.82, 4,305.23 and 1,482.77 is: 2,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.82 : 4,305.23 = 1,482.77 : x
  2. Step 2: Convert to fraction form
    2,869.82/4,305.23 = 1,482.77/x
  3. Step 3: Cross multiply
    2,869.82x = 4,305.23 × 1,482.77
  4. Step 4: Simplify right side
    2,869.82x = 6,383,665.89
  5. Step 5: Solve for x
    x = 6,383,665.89/2,869.82
  6. Step 6: Final answer
    x = 2,224.41

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Why These Related Problems?

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