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Finding the Fourth Proportional to 4,769.80, 7,155 and 1,485.04

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Solution

The fourth proportional to 4,769.80, 7,155 and 1,485.04 is: 2,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.80 : 7,155 = 1,485.04 : x
  2. Step 2: Convert to fraction form
    4,769.80/7,155 = 1,485.04/x
  3. Step 3: Cross multiply
    4,769.80x = 7,155 × 1,485.04
  4. Step 4: Simplify right side
    4,769.80x = 10,625,461.20
  5. Step 5: Solve for x
    x = 10,625,461.20/4,769.80
  6. Step 6: Final answer
    x = 2,227.65

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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.