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Finding the Fourth Proportional to 4,243.68, 6,365.70 and 1,165.68

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Solution

The fourth proportional to 4,243.68, 6,365.70 and 1,165.68 is: 1,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.68 : 6,365.70 = 1,165.68 : x
  2. Step 2: Convert to fraction form
    4,243.68/6,365.70 = 1,165.68/x
  3. Step 3: Cross multiply
    4,243.68x = 6,365.70 × 1,165.68
  4. Step 4: Simplify right side
    4,243.68x = 7,420,369.18
  5. Step 5: Solve for x
    x = 7,420,369.18/4,243.68
  6. Step 6: Final answer
    x = 1,748.57

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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.