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Finding the Fourth Proportional to 3,072.67, 4,608.77 and 1,098.10

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Solution

The fourth proportional to 3,072.67, 4,608.77 and 1,098.10 is: 1,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.67 : 4,608.77 = 1,098.10 : x
  2. Step 2: Convert to fraction form
    3,072.67/4,608.77 = 1,098.10/x
  3. Step 3: Cross multiply
    3,072.67x = 4,608.77 × 1,098.10
  4. Step 4: Simplify right side
    3,072.67x = 5,060,870.86
  5. Step 5: Solve for x
    x = 5,060,870.86/3,072.67
  6. Step 6: Final answer
    x = 1,647.06

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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.