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Finding the Fourth Proportional to 3,098.03, 4,647.04 and 1,149.84

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Solution

The fourth proportional to 3,098.03, 4,647.04 and 1,149.84 is: 1,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.03 : 4,647.04 = 1,149.84 : x
  2. Step 2: Convert to fraction form
    3,098.03/4,647.04 = 1,149.84/x
  3. Step 3: Cross multiply
    3,098.03x = 4,647.04 × 1,149.84
  4. Step 4: Simplify right side
    3,098.03x = 5,343,349.60
  5. Step 5: Solve for x
    x = 5,343,349.60/3,098.03
  6. Step 6: Final answer
    x = 1,724.76

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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.