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Finding the Fourth Proportional to 4,850.16, 7,270.92 and 1,770

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Solution

The fourth proportional to 4,850.16, 7,270.92 and 1,770 is: 2,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.16 : 7,270.92 = 1,770 : x
  2. Step 2: Convert to fraction form
    4,850.16/7,270.92 = 1,770/x
  3. Step 3: Cross multiply
    4,850.16x = 7,270.92 × 1,770
  4. Step 4: Simplify right side
    4,850.16x = 12,869,528.40
  5. Step 5: Solve for x
    x = 12,869,528.40/4,850.16
  6. Step 6: Final answer
    x = 2,653.42

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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.