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Finding the Fourth Proportional to 4,097.36, 6,144.78 and 1,174.88

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Solution

The fourth proportional to 4,097.36, 6,144.78 and 1,174.88 is: 1,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.36 : 6,144.78 = 1,174.88 : x
  2. Step 2: Convert to fraction form
    4,097.36/6,144.78 = 1,174.88/x
  3. Step 3: Cross multiply
    4,097.36x = 6,144.78 × 1,174.88
  4. Step 4: Simplify right side
    4,097.36x = 7,219,379.13
  5. Step 5: Solve for x
    x = 7,219,379.13/4,097.36
  6. Step 6: Final answer
    x = 1,761.96

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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.