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Finding the Fourth Proportional to 4,243.69, 6,365.54 and 1,165.69

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Solution

The fourth proportional to 4,243.69, 6,365.54 and 1,165.69 is: 1,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.69 : 6,365.54 = 1,165.69 : x
  2. Step 2: Convert to fraction form
    4,243.69/6,365.54 = 1,165.69/x
  3. Step 3: Cross multiply
    4,243.69x = 6,365.54 × 1,165.69
  4. Step 4: Simplify right side
    4,243.69x = 7,420,246.32
  5. Step 5: Solve for x
    x = 7,420,246.32/4,243.69
  6. Step 6: Final answer
    x = 1,748.54

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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.