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Finding the Fourth Proportional to 4,769.44, 7,154.82 and 1,482.80

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Solution

The fourth proportional to 4,769.44, 7,154.82 and 1,482.80 is: 2,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.44 : 7,154.82 = 1,482.80 : x
  2. Step 2: Convert to fraction form
    4,769.44/7,154.82 = 1,482.80/x
  3. Step 3: Cross multiply
    4,769.44x = 7,154.82 × 1,482.80
  4. Step 4: Simplify right side
    4,769.44x = 10,609,167.10
  5. Step 5: Solve for x
    x = 10,609,167.10/4,769.44
  6. Step 6: Final answer
    x = 2,224.41

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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.